SOLUTION: There are three people on a committee. There are six men and seven women available to serve on the committee. How many different combinations of men and women can be formed?

Algebra.Com
Question 196859: There are three people on a committee. There are six men and seven women available to serve on the committee. How many different combinations of men and women can be formed?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
There are three people on a committee.
There are six men and seven women available to serve on the committee.
How many different combinations of men and women can be formed?
---
0 men and 3 women in 7C3 = 35 ways
-------------
1 man and 2 women in 6*7C2 = 6*21 = 126 ways
-------------
2 men and 1 woman in 6C2*7 = 15*7 = 105 ways
--------------
3 men and 0 woman in 6C3 = 20 ways
==========================================
Cheers,
Stan H.

RELATED QUESTIONS

A committee is to have four members. There are seven men and six women available to serve (answered by stanbon)
A committee is to consist of two members. If there are four men and seven women available (answered by ewatrrr)
A committee is to consist of three members. If there are seven men and five women... (answered by stanbon,jorel1380)
A watch committee has 10 women and 8 men. A committee of six people is to be chosen.... (answered by Boreal)
there are 7 people on committee a and 8 people on committee b .if three people serve on (answered by richwmiller)
seven women and three men on a committee. Committee is to consist of four. how many... (answered by sudhanshu_kmr)
A neighborhood watch committee has 10 men and 8 women. A committee of 6 people is to be... (answered by VFBundy)
A neighbor watch committee has 10 women and 8 men. A committee of six people is to be... (answered by Alan3354)
Six men and eight women volunteered to serve on the committee. How many different... (answered by jorel1380)