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March 1, 2015

Posted by **Haley** on Monday, September 25, 2006 at 5:36pm.

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 5C2 ways to choose professors and 15C10 ways to select the students. Multiply them to get the total ways this can be done.

nCm means n choose m,check your text on how to calculate this.

- Math -
**Anonymous**, Tuesday, December 6, 2011 at 8:35am5 taken 2=10

15 taken 10= [15x14x13x12x11]/5!

so the final answer is: [15x14x13x12x11x10]/5!

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