# math word problem

posted by .

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.)

• math word problem -

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 -

I can't figure out where you got the 120 and 56.

## Similar Questions

1. ### math

from a group of women and 4 men, determine in how many ways a committee of people can be selected with no restrictions?
2. ### gr12 math

froma group of 6 ladies and 4 men, determine in how many ways a committee of 4 people cxan be selected. a. with no restirctions b. 4 women c. 3 women and 1 men d. 2 women and 2 men e. 4 men
3. ### math

a committee of 5 people is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consists of 3 men and 2 women?
4. ### math

In a group of 7 men and 8 women, how many committees of 5 can be selected for which there are 2 men and 3 women?
5. ### math prob

A committee of 5 people is selected from a group of 7 men and 9 women. In how many ways can the committee be selected so it contains at least 1 woman?
6. ### maths

.A committee of 6 is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consists of 2 men and 3 women?
7. ### Math

A certain club consists of 5 men and 6 women. a) How many ways are there to form a committee of 3 people and b) How many ways are there to form a committee consisting of 3 men and 4 women.
8. ### math

how many committee of five people can be chosen from 20 men and 12 women if a) exactly three men must be on each committee b) at least four women on each committee
9. ### statistics

in a club there are 6 men and 9 women. a committee of 1 man and 2 women is to be formed. how many different possibilities would there be in choosing the committee?
10. ### math

there are 8 women and 6 men in a department. how many ways can a committee of 4 people be selected if there must be at least two women on the committee?

More Similar Questions