# 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
2. ## 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
3. ## 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?
4. ## 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?
5. ## 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
6. ## 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
7. ## 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?
8. ## Math

How many ways can 3 students be chosen from a class of 20 to represent their class at a banquet? (1 point) 6,840 3,420 1,140 2,280 15. You and 3 friends go to a concert. In how many different ways can you sit in the assigned seats? (1 point) a.6 ways b.12
9. ## 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?
10. ## 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?
11. ## 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?
12. ## 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,
13. ## 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.
14. ## 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.
15. ## Math

Alicia, Bill, and Ross are in Group A. David, Maddie, and Shelby are in Group B.The students are going to have their pictures taken. They will stand in 2 rows by group, and group members cannot be separated. If 2 girls or 2 boys cannot be standing next to
16. ## Math

200 elementary school students were surveyed to find their blood groups. Of those, 55 were of blood group A, 85 of blood group B, and 21 of blood group O. What is the probability that a randomly chosen student has either blood group A or blood group B? A)
17. ## Probability

1) A group of students were asked about their itunes collection. The probability that a student had downloaded the album by group X was 33%. The probability that a student downloaded the album by group Y was 41%. However, if you only asked the students
18. ## 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?
19. ## 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
20. ## 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?
21. ## Math (pre-celc 12)

In how many ways can a school president, a vice-president, and secretary be chosen from 21 students? I'm not sure to find this answer since there is no order in which they are chosen.
22. ## 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?
23. ## 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?!
24. ## math

In English Class, after studying a book called \The Lord of the Flies" by William Golding, students are split into 6 groups and each group is required to make a fi lm based on one of the 8 important scenes in the novel. Each group can choose which scene
25. ## 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
26. ## 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
27. ## Probability: Counting

Hi everyone. I am struggling a bit with this one example question I am doing. Problem: There is a group of 12 people, 6 men and 6 women. A committee is to be formed consisting of 5 members from this group. Find the probability that Anne (one of the
28. ## 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.
29. ## 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
30. ## 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
31. ## Combinatorics

In how many ways can 8 students be assigned to 2 groups if each group must have at least 3 students?
32. ## Math (probability)

Three members of a 12 person singing group are going to be chosen to sing a song in their coming concert. A) how many different groups containing 3 people can be chosen from the 12 members of the singing group? B) what Is the probability that mike and Jo
33. ## Math

2. Three members of a 12 person singing group are going to be chosen to sing a song in their coming concert. A) how many different groups containing 3 people can be chosen from the 12 members of the singing group? B) what Is the probability that mike and
34. ## math

a class of 51 students ,23 are freshman,and 28 are juniors what fraction of students are freshaman
35. ## Probability

Two group of male students cost their past on a particular proposal.the result are as follows: Group infavour against A 128 32 B 96 48 if a student in favour of proposal is selected for a post. What is the probability that he is from group A ? if a student
36. ## statistics

Two group of male students cost their past on a particular proposal.the result are as follows: Group infavour against A 128 32 B 96 48 if a student in favour of proposal is selected for a post. What is the probability that he is from group A ? if a student
37. ## Math

Two group of male students cost their past on a particular proposal.the result are as follows: Group infavour against A 128 32 B 96 48 if a student in favour of proposal is selected for a post. What is the probability that he is from group A ? if a student
38. ## Math

Two group of male students cost their past on a particular proposal.the result are as follows: Group infavour against A 128 32 B 96 48 if a student in favour of proposal is selected for a post. What is the probability that he is from group A ? if a student
39. ## 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
40. ## Math

You are allowed to omit two out of 12 questions on a quiz. How many ways can the six students be chosen?
41. ## 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
42. ## 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?
43. ## Math

By 7:00P.M., 1/3 or the junior class has arrived at a school dance. By 8:09PM., 30 more juniors had arrived, raised attendance to 1/2 of the juniors class. How many people are in the juniors class? I don’t understand.. can someone help? A 30 B90 C120
44. ## algebra 2

Which should be used a permutation or combination? Determine the number of different ways in which a committee of four can be chosen from a group of twelve members?
45. ## 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
46. ## Geometry

In a class of 50 high school juniors, 32 students either play a sport or are in the marching band. There are 22 juniors who playa sport and 16 who are in the marching band. What is the probability that a randomly selected junior plays a sport and is in the
47. ## Physics

A class has 50 students. 13 are juniors, 20 are psych majors, and 24 are neither psych majors nor juniors. How many psych majors are juniors?
48. ## Statistics

A class has 50 students. 13 are juniors, 20 are psych majors, and 24 are neither psych majors nor juniors. How many psych majors are juniors?
49. ## 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
50. ## 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
51. ## College Math

In a group of 200 high school students, 36 are taking biology, 52 are taking Spanish, and 126 are taking neither biology nor Spanish. If one of these 200 students is to be chosen at random, what is the probability that the student chosen is taking biology
52. ## college intermediate

In a group of 200 high school students, 36 are taking biology, 52 are taking Spanish, and 126 are taking neither biology nor Spanish. If one of these 200 students is to be chosen at random, what is the probability that the student chosen is taking biology
53. ## math

In a group of 200 high school students, 36 are taking biology, 52 are taking Spanish, and 126 are taking neither biology nor Spanish. If one of these 200 students is to be chosen at random, what is the probability that the student chosen is taking biology
54. ## 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?
55. ## math

Decide if it's permuatation or combination . 1-how many teams of 4 horses be made if there were 9 horses in total ? 2-mike has nice baseball trophies to arrange on the shelf . How many different ways can be arranged ? 3-in a math class , there are 24
56. ## math

Decide if it's permuatation or combination . 1-how many teams of 4 horses be made if there were 9 horses in total ? 2-mike has nice baseball trophies to arrange on the shelf . How many different ways can be arranged ? 3-in a math class , there are 24
57. ## math

on school picnic,a group of students agree to pay equally for the use of a full boat and pay Rs.10 each.if there had been 3 more students in each group, each would have paid Rs.2 less.how many students were there in the group?
58. ## 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?
59. ## 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
60. ## Stats

I am working on a review sheet and got everything except for this one. I am not sure whether to use z or t. The number of hours per week that high school juniors watch TV is normally distributed with a mean of 8 hours and a standard deviation of 2 hours.
61. ## 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.
62. ## English

1. This is a group of students who help the sick. 2. These are a group of students who help the sick. 3. This is a group of students who helps the sick. 4. These are a group of students who helps the sick. (Which expressions are correct? Please focus on
63. ## 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
64. ## 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?
65. ## 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?
66. ## 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?
67. ## Algebra 1

Suppose students in your school arrive in groups each morning. You are the first to arrive, and you are alone, but still considered a group (consisiting of one person). The second group has two more people than the first group. The third group has two more
68. ## 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?
69. ## math

in city high school,the marching band has 48 members and the orchestra has 36 member.if there are only 12 students who belong to only one group and all students belong to at least one group how many students belong to both group?
70. ## Math

A teacher divides 36 students into equal groups for a scavenger hunt . Each group should have at least 4 students but no more than 8 students , what are the possible group sizes ?
71. ## math

In how many ways can a committee of 12 people, of which 5 must be in the 21−30 age group, 4 must be in the 31−40 age group and 3 must be in the 41−50 age group, be chosen if there are 6 people of each age group?
72. ## math

In how many ways can a committee of 12 people, of which 5 must be in the 21−30 age group, 4 must be in the 31−40 age group and 3 must be in the 41−50 age group, be chosen if there are 6 people of each age group?
73. ## Math

In how many ways can a committee of 12 people, of which 5 must be in the 21−30 age group, 4 must be in the 31−40 age group and 3 must be in the 41−50 age group, be chosen if there are 6 people of each age group?
74. ## 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
75. ## Math

In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 15 prospective jurors?
76. ## Statistics - Data Collection

If you were in a cafeteria full of students and you wanted to randomly divide 10 students into group A and 10 students into group B, what would be the least biased way to do it?
77. ## Statistics

Six mice are in an experiment on nutrition and 2 are chosen at random for the control group. What is the probability that the two heaviest mice are chosen for the control group? PLEASE HELP!! This is a review question for an exam I have in the morning!!
78. ## help

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
79. ## Algebra

It says "there are x students trying out for a solo in a chorus concert. Only 6 will be chosen. How many students will not be chosen?"
80. ## 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
81. ## math

Create two problems for your fellow students to solve. Make one of the questions a permutation and the other one a combination. The permutation I gave this example. In how many ways can we arrange 8 movies on a book self? The combination example I put. How
82. ## math

Which should be used a permutation or combination? Determine the number of different ways in which a committee of four can be chosen from a group of twelve members? please check my answer = combination
83. ## 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?

1. the probability of a basketball player hitting a foul shot is 1/3. how many shots would you expect her to make in 90 attempts. a. 30 b. 60 c. 3 d. 45 my answer is b? 2. simplify 8P3. a. 42 b. 336 c. 40,432 d. 56 my answer is d? 3. how many ways can 4
85. ## Discrete Math

7.A group has 9 women and 7 men. d. Suppose 2 members of the group refuse to work together. How many subgroups of 5 can be chosen 8. In how many ways can 16 people be seated: a. In a row, if 4 of the 16 do not want to sit next to one another b. In a row,
86. ## Discrete Math

7.A group has 9 women and 7 men. d. Suppose 2 members of the group refuse to work together. How many subgroups of 5 can be chosen 8. In how many ways can 16 people be seated: a. In a row, if 4 of the 16 do not want to sit next to one another b. In a row,
87. ## Math

miss handson ask students to prepare booths for the Fall Fair. In all, 40 students volunteered. miss Hanson wanted no more than six students in a group. if one teacher helps each group, how many teachers will be needed?
88. ## Math

miss handson ask students to prepare booths for the Fall Fair. In all, 40 students volunteered. miss Hanson wanted no more than six students in a group. if one teacher helps each group, how many teachers will be needed?
89. ## Math

miss handson ask students to prepare booths for the Fall Fair. In all, 40 students volunteered. miss Hanson wanted no more than six students in a group. if one teacher helps each group, how many teachers will be needed?
90. ## 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
91. ## 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.
92. ## math

How many ways can 3 students be chosen from a class of 16 to represent their class at a banquet? a.3,360 b.1,680 c.1,120 d.560
93. ## Math

How many ways can 3 students be chosen from a class of 16 to represent their class at a banquet? A. 3,360 B. 1,680 C. 1,120 D. 560
94. ## Math

A group of students is entering a contest to win \$1000. The students plan to divide the money equally. Construct a graph that best describes the relationship between the number of students in the group and the amount of prize money each student wims?
95. ## math plz help Irving

How many ways can 4 students be chosen from a class of 12 to represent their class at a banquet? A.495 B.990 C.5,940 D.11,880 Is the answer C?
96. ## Statistics

The father of a junior high school student wants to determine the most popular book among junior high students. Select the sample with the least potential bias. A. A randomly selected group of 10 book sellers B. A randomly selected group of 30 junior high
97. ## Statistics

The father of a junior high school student wants to determine the most popular book among junior high students. Select the sample with the least potential bias. A. A randomly selected group of 10 book sellers B. A randomly selected group of 30 junior high
98. ## math

Your math class has 27 students. There are 12 seniors and the rest are juniors. What is the senior-to-ratio?
99. ## 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
100. ## maths

A group of students decide to attend a concert. The cost of renting a bus to take them to the concert is \$450, which is to be shared equally among the students. The concert promoters offer discounts to groups arriving by bus. Tickets normally costs \$59