# math

posted by .

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.

• math -

Number of ways to choose 3 students from 14 = C(14,3) = 14!/((14-3)!3!)

Number of ways to choose 3 students from 8 boys = C(8,3) = 8!/((8-3)!3!)

Number of ways to choose 3 students with at least one girl
= C(14,3)-C(8,3)

• math -

thank you!

• math :) -

You're welcome!

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### 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?
2. ### 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?
3. ### math

There are 6 boys and 8 girls in a group of students. Calculate the number of ways that a president, vice-president and treasurer can be selected. Please show your work.
4. ### math

there were 490 altogether in 2 groups. group A consited of only boys and group b constied of only girls. ther were 2 and a half times as many girls as boys. some girls joined group b and foe every 4 boys in group a 32 more boys jioned …
5. ### 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 …
6. ### math

Of a group of students 5/8 of them are boys. The girls are put into groups so that each group has 1/6 of the total number of students. How many groups of girls are there?
7. ### 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
8. ### 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 …
9. ### Math

3/5 of the students in a class were boys. The teacher divided the boys equally into groups so that each group of boys had 1 10 of the number of students in the class. The teacher then divided the girls equally into groups such that …
10. ### 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 …

More Similar Questions