# How many ways can 5 students be chosen from a group of 4 juniors and 6 seniors to be on the prom committee if exactly 3 students must be seniors?

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How many ways can 5 students be chosen from a group of 4 juniors and 6 seniors to be on the prom committee if exactly 3 students must be seniors? Answer: 5400 Find the probability of getting a sum of 5 on the first toss of two number cubes and a sum of 6 on the second toss. ...
2. ### geometry

the ratio of juniors to seniors is 9 to 8, if there are 51 juniors and seniors total, which percent of students are seniors? how do i figure this out?!
3. ### math

there is 2 freshmen, 4 sophomores, 8 juniors, and 15 seniors. A local television station wants to interview 8 students from the team. How many different ways can exactly 4 seniors and 4 juniors be selected for the interview?
4. ### Math

A club consists of 8 seniors, 7 juniors, and 4 sophomores. A subcommittee consisting of 3 seniors, 2 juniors, and 1 sophomore will be chosen. How many different such subcommittees are there?
5. ### Pre-Calculus

Consider a class with 10 sophomores, 8 juniors, and 6 seniors. Two students are selected at random. 1) What is the probability of selecting 1 junior and 1 senior. 2) Find the odds of selecting two students who are not seniors. How do I set these up to solve?? Any help is ...
6. ### Algebra 2

Amanda surveyed 20 juniors and seniors at Delmark Highschool to find the number of hours per week they spend working at part time jobs. Her results are shown below Junior - 20,10,20,15,0,0,10,20,15 Senior - 20,20,10,10,0,0,0,10,0,10 Which statement about the data is true? A - ...
7. ### Algebra 2

Amanda surveyed 20 juniors and seniors at Delamar high school to find the number of hours per week they spend working at part-time jobs. Her results are shown below. Juniors: 20,10,20,10,15,0,0,10,20,15 Seniors: 20,20,10,10,0,0,0,10,0,10 which statement about the data is true...
8. ### statistic

here are five seniors in a class, for each situation, write how the binomial formula is used to calculate the probability. a) In how many ways can you choose one senior to represent the group? b) In how many ways can you choose two seniors to represent the group? c.) In how ...
9. ### Math

From a pool of six juniors and eight seniors three co captains will be chosen for the football team. How many different combinations are possible if one junior and two seniors are chosen?
10. ### Math

A college class with 30 sophomores, 18 juniors, and 12 seniors is divided into project groups where each group has the same number of sophomores, juniors, and seniors. What is the greatest number of groups that can be formed? How many sophomores, juniors, and seniors are in ...
11. ### mathematics

A total of 50 seniors and juniora wwere give amath tesr.the 35 juniors got an average of 80 and 15 seniors got 70.what was average score of all 50 students
12. ### MATH

a total of 50 juniors and seniors were given a mathematics test.the 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70.what was the averagescore for all 50 students who took the test? please explain if you can
13. ### statistics 2

A football team consists of 20 each freshmen and sophomores, 15 juniors and 10 seniors. Four players are selected at random to serve as captains. Find the probability that: a) all four are seniors b) There is one each: freshman, sophomore, junior and senior. c) There are 2 ...
14. ### Math

The ratio of the number of freshman to old students to juniors to seniors on a college basketball team is 4:7:6:8.what percent of the team are old students?
15. ### Probability - Check

Could someone check these answers for me. Thanks 1. (3x+y)^7 = 2187x^7 + 5103x^6y + 5103x^5y^2 + 8505x^4y^3 + 2835x^3y^4 + 567x^2y^5 + 63xy^6 + y^7 2. Eight people are boarding an airplane. Two have tickets for first class and board before those in the economy class. In how ...
16. ### statics

you select a name at random from a hat that contains 33 freshmen,34 sophomores, 30 juniors, and 28 seniors. what is the probability that the name is a seniors?
17. ### SAT Math

All of the students who took chemistry at Groveton High School last year were juniors or seniors, as shown in the table below. If 80% of the students who took chemistry passed, then what fraction of the students in the combined junior and senior classes took chemistry? Class ...
18. ### math

Freshman:Sophmore = 5:4 Sophmore:Juniors = 7:8 Juniors:Seniors = 9:7 The total is 2158, what is the amount of each grade? So far, I got 35:32:224/9 for Freshman:Sophmore:Seniors I don't know if I'm correct, or what I'm doing. Can you please give me help and explain? thanks so ...
19. ### math

Freshman:Sophmore = 5:4 Sophmore:Juniors = 7:8 Juniors:Seniors = 9:7 The total is 2158, what is the amount of each grade? So far, I got 35:32:224/9 for Freshman:Sophmore:Seniors I don't know if I'm correct, or what I'm doing. Can you please give me help and explain? thanks so ...
20. ### stasticstics

Blue Nile University recently conducted a survey of undergraduate students in order to gather information about the usage of the library. The population for this study included all 4000 undergraduate students enrolled in the university. The library officers are interested in ...
21. ### probality

Blue Nile University recently conducted a survey of undergraduate students in order to gather information about the usage of the library. The population for this study included all 4000 undergraduate students enrolled in the university. The library officers are interested in ...
22. ### math

A class consist of 2/5 freshman,1/4 sophomores, and 1/10 juniors; the rest are seniors. What fraction of class are seniors?
23. ### math

Your math class has 27 students. There are 12 seniors and the rest are juniors. What is the senior-to-ratio?
24. ### Probability - Math

According to the record of the registrar's office at a state university, 35% of the students are freshman, 25% are sophomore, 16% are junior, and the rest are senior. Among the freshmen, sophomores, juniors, and seniors, the portion of students who live in the dormitory are, ...
25. ### Logic

This is the information about students participating in a field trip: 36 were female students, 13 were male seniors, 41 were not drama majors, exactly half of the drama majors were male, a third of the female students were drama majors but not seniors, there were 15 senior ...
26. ### math

A random group of seniors was selected from a university and asked about their plans for the following year. The school advising office claims that 60% of the students plan to work, 30% of the students plan to continue in school, and 10% of the students plan to take some time ...
27. ### Geography

need help predicting what should be done to prepare each of our two countries for education for young people, Infant care for young mothers, Home construction for growing families, and Medical care for seniors. Age group for each: 0-19 -25.90, 20-59 -51.70 and 60 Seniors - 20....
28. ### Algebra 2

write an equation to solve each problem There is only one freshman in the cast of the high school musical. There are 6 sophomore and 11 juniors. One third of the cast are seniors. How may seniors are in the musical? *Please show me the work on how to do it
29. ### Math

There are 30 seniors, 15 juniors, 12 freshman, and 10 sophomores in the club. When one student is picked randomly, what is the probability that a sophomore is not chosen? 57/67?
30. ### Statistics

According to the record of the registrar's office at a state university, 35% of the students are freshman, 25% are sophomore,16% are junior and the rest are senior. Among the freshman, sophomores, juniors and seniors, the portion of the students who live in the dormitory are ...
31. ### Quantitative Analysis

The students at Littlewood Regional High School cut an average of 3.3 classes per week. A random sample of 117 seniors averages 3.8 cuts per week, with a standard deviation of 0.53. Are seniors significantly different from the student body as a whole?
32. ### Math

How do you figure this problem out? How many different committees can be formed from 5 professors and 15 students if each committee is made up of 2 professors and 10 students? THANKS!!!!! The limiting factor is the students. You only have enough for one committee. There are ...
33. ### Probability

According to the record of the registrar's office at a state university, 40% of the students are freshman, 25% are sophomore, 20% are junior, and the rest are senior. Among the freshmen, sophomores, juniors, and seniors, the portion of students who live in the dormitory are, ...
34. ### math

There are 6 boys and 8 girls in a group of students. Calculate the number of ways that a committee of 3 students which has at least 1 girl can be selected from the group. Please show your work.
35. ### math logic

A group of five students needs to break into two smaller groups in order to tackle the two different assignments associated with a larger group project. Naturally, they feel that it would be most fair to break into groups of two and three. How many ways are there to do this? ...
36. ### Grammar

Which of the following combines the sentences below by coordinating? Senate pages may be between fourteen and seventeen years old. Pages in the House must be high school juniors or seniors. A.Senate pages may be between fourteen and seventeen years old, while pages in the ...
37. ### math

A committee of 2 teachers and 3 students is to be randomly chosen from a group of 5 teacher and 6 students. the total number of different committees is?
38. ### Math

Given the situation described, identify the type of sampling involved. Students at Local U are classified according to the progress toward their degree program as freshmen, sophomores, juniors, seniors and nonmatriculating, then random samples from each class are taken. I ...
39. ### Math

Given the situation described, identify the type of sampling involved. Students at Local U are classified according to the progress toward their degree program as freshmen, sophomores, juniors, seniors and nonmatriculating, then random samples from each class are taken. I ...
40. ### college math

The number of seniors at Freedom High School was 421 in 2002. If the number of seniors increases at a rate 1.7% per year, how many seniors will be in the class of 2014?
41. ### Math

Kendall asked 40 randomly-selected seniors at his high school about their plans for after they graduated. Twenty-nine students said they planned to go to college. If there are 380 seniors at Kendall’s high school, estimate the number who plan to go to college.
42. ### Math

There are one thousdand students in Central High School. Three hundred twenty-eight of the students are seniors. Write the decimal that shows what part of the student body is in the senior class.
43. ### Data management

1) In how many ways can 12 distinct objects be separated into three equal piles? 2) In how many ways can 25 students be assigned to 4 distinguishable study groups if at least 6 students must be in each group? 3) in how many ways can 4 students be assigned to 9 class periods if...
44. ### Probability

If 5 juniors and 4 seniors apply for a job at a school which has 2 openings, what is the probability that 1 junior and 1 senior will be randomly chosen for the job.
45. ### math

Fifteen percent of the seniors voted for Joe. If 289 seniors voted for tehother candidates, how many seniors voted in the election? Let the total number voting be N. 0.85 N = 289 Solve for N
46. ### statistics

In a particular class, there are 3 freshmen, 5 sophomores, 11 juniors, and 2 seniors. If the instructor randomly chooses a student to answer a question in class, what is the probability that the student chosen will be a freshman?
47. ### math

A committee of 5 is chosen from 6 teachers and 3 students and 7 others. Determine the number of ways of selecting the committee if it is to contain: (a)at least two teachers (b)no teacher nor student
48. ### Math

from a group of 14 junior and 9 senior students, determine how many committees of 8 students can be chosen if all chosen students are junior students?
49. ### English

1. A group of students help the sick. 2. A group of students helps the sick. (What is the difference between the two sentence? If both are grammatical, aren the following correct as well? ) 3. This is a group of students. 4. These are a group of students. 5. These students are...
50. ### Statistics

From five faculty members and four students, a committee of four is to be chosen that includes two students and two faculty members. In how many ways can this be done? Please show more than one approach.
51. ### Math

16 students have registered for a summer sports camp. they are to be divided into either a swimming or a tennis activity, with no more than 1- students in either group. in how many ways could the group in the tennis activity be chosen?
52. ### math 12

A committee of students and teachers is being formed to study the issue of student parking privileges. Fifteen staff members and 18 students have expressed an interest in serving on the committee. In how many different ways could a five-person committee be formed if it must ...
53. ### Statistics

A committe of 5 members will be chosen from a group of 10 teachers and 5 students. What is the probability that the committee will have A) all teachers? B) 3 teachers and 2 students? C) 3 or 4 teachers?
54. ### Statistics

A committe of 5 members will be chosen from a group of 10 teachers and 5 students. What is the probability that the committee will have A) all teachers? B) 3 teachers and 2 students? C) 3 or 4 teachers?
55. ### statistics

(a)Comparison of GPA for randomly chosen college juniors and seniors: xbar= 3.05, s1 = .20, n1 = 15, xbar2= 3.25, s2 = .30, n2 = 15, á = .025, left-tailed test. calculate d.f. ____________ Standard error ____________ t-calculated ____________ p-value ____________ t-critical ...
56. ### Algebra 2

The seniors at Travis High School have three purchase options for their yearbook. Option 1: They can purchase a copy of the yearbook and a one-page ad for \$35. Option 2: They can purchase a copy of the yearbook and a one-half page ad for \$25. Option 3: They can purchase a copy...
57. ### algebra

There are 6 students in a club. For a certain activity, 4 of the students need to form a separate group. How many ways can this group of 4 students be formed?
58. ### math

A group of 5 students is to be chosen from a class of 20 students to work on a term project. How many different groups of students can be chosen from the class?

How many ways can a teacher arrange 10 students in a front row if there are 60 students I think I do 60!/50! = 2.74 *10^17 How many ways can you choose committee of 7 from a total of 20 (20 nCr7) = 77520
60. ### college math

How many different committees can be formed from 9 teachers and 39 students if the committee consists of 2 teachers and 3 students? In how many ways can the committee of 5 members be selected?
61. ### Algebra II-Please check calc

How many ways can a teacher arrange 10 students in a front row if there are 60 students I think I do 60!/50! = 2.74 *10^17 How many ways can you choose committee of 7 from a total of 20 (20 nCr7) = 77520
62. ### Math

Find the probability of: a) Rolling a three OR a six with a single die Answer: P(3 U 6)= n(3U6)/n(S) = 3+6/6 = 9/6 reduced: 3/ b) Dealing an ACE OR a FACE CARD from a standard deck Answer: P(A U F)= 4/52 + 12/52 = 4/13 2. A 5-committee is to be chosen from 4 teachers and 4 ...
63. ### Math

1. At a basketball game, the ratio of the number of freshmen who attended to the number of juniors who attended was 3 to 4. The ratio of the number of juniors who attended to the number of seniors who attended was 7 to 6. What was the ratio of the number of freshmen to the ...
64. ### Maths

From a group of 10 people, 5 men and 5 women, six are to be chosen to serve on a committee. a) In how many ways can the committee be chosen? b) Find the probability that two men will be chosen. c) Find the probability that the committee chosen will consist at least 4 women.
65. ### Quantitative reasoning

The administration has formed a 26 person planning committee. There are 5 times as many administrators as there are students and five more faculty members than students. How many students are there on the committee?
66. ### Geometry

A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the lottery 3 times; each junior's name, 2 times; and each sophomore'...
67. ### Math

a committee of 5 has to be chosen from a group of 4 democrats and 5 republican staff how many different ways can the committee be selectedYou
68. ### Math

the ratio of of the number of adults to the number of students at the prom has to be 1:10. Last year there were 477 more students than adults at the prom. If the school is expecting the same attendance this year how many adults have to attend prom?
69. ### maths

A committee of 4 people is to be chosen from 5 married coiples.find in how many ways the committee can be chosen if: i) everyone is equallt eligible ii) the committee should include at least one woman solution so far.5 couples=10 people. To choose 4=10C4=10!/(10-4)!4!=210 ways...
70. ### SYSTEM DESIGN

Could someone re-word this for me?? My instructor did not like the structure: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Soon after warm weather ,and springtime rolls around, high school seniors across the country have only one thing is on his or her minds: GRADUATION PARTIES...
71. ### math

1.Among 90 pieces of mail delivered to the library of a college,50 are addressed to the faculty of Business Administration and 40 are addressed to the Communication faculty.if two of these pieces of mail are delivered to the Dean's office by mistake,and the selection is random...
72. ### maths

A committee of 4people is to be chosen from 5 married couples. Find in how many ways the committee can be chosen if; 1) everyone is equally eligible. 2) the committee should include at least one woman
73. ### math

The ratio number of adults to students at the prom is 1:10. Last year there were 162 more students at the prom. If the school is expecting the same attendance this year,how many adults have to attend?
74. ### Math

Claudia is arranging seating for her sorority's fall banquet. he has to sit 7 seniors, 5 juniors, 9 sophomores and 3 freshmen at the head banquet table. if members of the same class must sit together, in how ways can she do this? 2x7!7!x 2x5!5! x2x9!9! x 2x3!3! 50803200 x ...
75. ### Statistics

a random group of seniors was selected from a university and asked about their plans for the following year. The school advising office claims that 50% of the students plan to work, 25% of the students plan to continue in school, and 25% of the students plan to take some time ...
76. ### Statistics

If a committee of 4 students is selected from a class of 16 students, how many ways can this be done?
77. ### Mat 300/statistics

In how many ways can a committee consisting of 2 faculty members and 3 students be for there are 11 faculty members and 14 students eligible to serve on the committee?
78. ### chapter 5: Ratios & Proportions

Out of the 248 seniors, 112 are boys. What is the ratio of boys to the total number of seniors?
79. ### Probability

A committe of 5 members will be chosen from a group of 10 teachers and 5 students. What is the probability that the committee will have A) all teachers? B) 3 teachers and 2 students? C) 3 or 4 teachers?
80. ### probability

A survey of 850 students conducted in two schools showed the following results: School A: *Students who took the bus = 400 * Students who did not take the bus = 150 Total = 550 School B: *Students who took the bus = 200 * Students who did not take the bus = 100 Total = 300 ...
81. ### Probability Math

A committee of four students will be selected from a list that contains six Grade 9 students and eight Grade 10 students. What is the expected number of Grade 10 students on the committee?
82. ### maths

each of the students in a class writes a dirrerent 2 digit number on the whiteboard. the teacher claims that no matter what the students write, there will be at least three numbers on the whiteboard whose digits have the same sum. what is the smallest number of students in the...
83. ### mystery

There are 15 students on a yearbook committee. 40% of the students are females. How many students on the committee are males?
84. ### math

To determine whether there is a relationship between the type of school attended and verbal reasoning scores for Irish students, three samples with 25 students, in each group, were randomly selected from data used by Raferty and Hout (1985). One group of students attended ...
85. ### math

Later 7 students joined group 2 (41 students)and one student left to join group 1. (44 students) Now 20 students play trombone and 7 more students play trumpet as play saxophone. How many students play each instrument?
86. ### Math 157

A group of 10 students consists of 3 girls and 7 boys. How many ways can the students be arranged from left to right if the first 3 students are girls and the remaining students are all boys?
87. ### writing

My writing assignment is to write an essay on "anything that is significant expressed in a claim". I am to write an argumentive essay about something significant-said in a claim. Such as: Our government needs to establish a health care plan that addresses the needs of all ...
88. ### WISE Program???

What is the WISE program??? i saw this in my program studies book (my school district). it stands for wISE Individualized senior experience. It's a national elective program that allows hs students seniors anIndividualized experience during the second haft of their senior yr. ...
89. ### Stastics

Can someone help me and let me know if what I have solved is correct. A researcher randomly surveyed 300 high school seniors and determined 225 stated they drive a car to high school. We are interested in the population proportion of seniors who drive a car to high school. a. ...
90. ### Math

A class has 12 students. In how many different ways can the students be put into lab groups consisting of 3 students in each group. The answer in the book is 369600. But I do not understand how they got this answer.
91. ### math

At a bus stop 20 students were standing in four groups. The first group contained four students more than the second. The second group contained one student less than the third. The fourth group contained twice as many students as the second group. How many students were in ...
92. ### math

A committee of 12 students must select from their group a president, a vice-president, and a secretary. In how many possible ways can this be accomplished?
93. ### Maths

A group of students were asked some questions about how they travelled to school. 1/2 of them said they walked. 1/3 of them said they travelled by bus. In the group there were more than 20 students and less than 30. a) How many students were there in the group b) what fraction...
94. ### maths

Suppose that a state university has to form a committee of 5 members from a list of 20 candidates out of whom 12 are teachers and 8 are students.If members of the committee are selected at random,what is the probability that the majority of the committee members are students?
95. ### maths

Suppose that a state university has to form a committee of 5 members from a list of 20 candidates out of whom 12 are teachers and 8 are students.If members of the committee are selected at random,what is the probability that the majority of the committee members are students?
96. ### Quantitative methods for business

Suppose that a state university has to form a committee of 5 members from a list of 20 candidates out of whom 12 are teachers and 8 are students.If members of the committee are selected at random, what is the probability that the majority of the committee members are students?
97. ### Math

Seven students are running for four junior class representative positions in the upcoming student council elections. How many different ways can the students be chosen?
98. ### Geography

we were asked to compare two countries using a chart: children and youth (age 0-19) Working adults (age 20-59) and Seniors (age 60 and older) we were then asked to identify the developed and the developing countries and make predication on the following questions: education ...
99. ### math

2 students are chosen at random from a group of 120 students that has 60 boys and 60 girls. What is the probability that the students are either both boys or both girls
100. ### Math

A math class has 25 students. There are 13 students who are only in the band, 4 students who are only on the swimming team, and 5 students who are in both groups. How many students are not in either group? I think it's 3 students?