SOLUTION: WORD PROBLEM : There are 10 women and 8 men in a club. How many diferent committees of 6 each can be selected from the group if equal number of men and women are to be on the comm

Algebra.Com
Question 95550This question is from textbook algebra and trigonometry
: WORD PROBLEM : There are 10 women and 8 men in a club. How many diferent committees of 6 each can be selected from the group if equal number of men and women are to be on the committee? PLEASE HELP ME SOLVE!!!! This question is from textbook algebra and trigonometry

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
you are selecting groups of 3 from a group of 8 and a group of 10 ... order is not important

3 from 8 is (8*7*6)/(3*2*1) ... 56

3 from 10 is (10*9*8)/(3*2*1) ... 120

any of the groups of men can be combined with any of the groups of women
so the total number of committees is 56*120 or 6720

RELATED QUESTIONS

I'm stumped on 2 word problems dealing with probability. Can someone please help me????... (answered by stanbon)
there are 10 women and 8 men in a club. how many different committees of six people can... (answered by richwmiller)
there are 10 women and 8 men in a club. how many different committees of six people can... (answered by Edwin McCravy)
Question (answered by jim_thompson5910)
ther are 10 women and 8 men in a club. how many different committees of six people can be (answered by richwmiller)
A college club has 18 members, of which 10 are men and 8 are women. The manager of the... (answered by math_tutor2020)
A commite of 5 is to be form from a club membership of 7 men and 6 women. In how many... (answered by ewatrrr)
how many committees of 8 people can be selected from 10 men and 16 women if their... (answered by ewatrrr)
How many ways can a foursome of 2 men and 2 women be selected from 10 men and 12 women in (answered by jorel1380)