Posted by **Paula** on Sunday, March 21, 2010 at 9:45pm.

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.

## Answer this Question

## Related Questions

- math - In a group of 7 men and 8 women, how many committees of 5 can be selected...
- gr12 math - froma group of 6 ladies and 4 men, determine in how many ways a ...
- math - from a group of women and 4 men, determine in how many ways a committee ...
- math - a committee of 5 people is to be selected from a group of 6 men and 9 ...
- statistics - It seems that people are choosing or finding it necessary to work ...
- math - In a company there are 7 executives: 4 women and 3 men. 3 are selected to...
- Maths - Eleven people, 7 men and 4 women, successfully completed their study at ...
- Maths - Eleven people, 7 men and 4 women, successfully completed their study at ...
- statistics - To find out what people think, the Gallup Poll selected a random ...
- probability - An employer wishes to hire three people from a group of 15 ...

More Related Questions