There are 10 women and 8 men in a club. How many different committees of 6 people can be selected from the group if equal numbers of men and women are to be on the committee?
I think it would be 2, because half of 6 is 3, so 3 are men and 3 are women.
2 committees of 3 each would work, but 3 committees of 3 each would not since there are only 8 men. I can't figure out to put it into an equation to get 2 as the answer. (This sounds like something Edith Bunker would say, if you know who she is.)
Thanks for all your help.
math word problem - Reiny, Sunday, March 21, 2010 at 11:31pm
This is a combination question
You want to choose 3 women from the 10 and 3 men from the 8
number of committees = C(10,3)*C(8,3)
= 120*56 = 6720
math word problem - Paula, Friday, March 26, 2010 at 12:22am
I can't figure out where you got the 120 and 56.