Posted by **corey** on Monday, May 23, 2011 at 7:37pm.

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 -
**MathMate**, Monday, May 23, 2011 at 8:07pm
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 -
**corey**, Monday, May 23, 2011 at 8:15pm
thank you!

- math :) -
**MathMate**, Monday, May 23, 2011 at 9:03pm
You're welcome!

## Answer This Question

## Related Questions

- Math 157 - A group of 10 students consists of 3 girls and 7 boys. How many ways ...
- math - There are 6 boys and 8 girls in a group of students. Calculate the number...
- statistics - A professor who teaches a number of courses is choosing a team of 4...
- math - In a classroom, the students are 12 boys and 6 girls. If one of the ...
- Math - 3/5 of the students in a class were boys. The teacher divided the boys ...
- Math 117 - A class has 10 boys and 12 girls. In how many ways can a committee of...
- math - 2 students are chosen at random from a group of 120 students that has 60 ...
- math - there were 490 altogether in 2 groups. group A consited of only boys and ...
- math - Of a group of students 5/8 of them are boys. The girls are put into ...
- Math 1350 - Mrs. Smith's classroom can hold at the most 30 students. Her first ...

More Related Questions