39.1k views
2 votes
How many different committees of 3 people can be chosen to work on a special projectfrom a group of 9 people?

User Bungrudi
by
7.9k points

1 Answer

4 votes

If the group has 9 people and we want to calculate how many subgroups of 3 people can be done, we have a combination of 9 choose 3.

A combination of n choose p can be calculated with the formula below:


C(n,p)=(n!)/(p!(n-p)!)

So, for n = 9 and p = 3, we have:


C(9,3)=(9!)/(3!(9-3)!)=(9\cdot8\cdot7\cdot6!)/(3\cdot2\cdot6!)=84

Therefore 84 different committees can be made.

User Citronas
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories