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)

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

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

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