SOLUTION: A neighborhood watch committee has 10 men and 8 women. A committee of 6 people is to be chosen. How many committees are pos

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Question 1141010: A neighborhood watch committee has 10 men and 8 women. A committee of 6 people is to be chosen.

How many committees are possible if the number of men and women on the committee doesn't matter?
How many committees are possible if there must be 4 women and 2 men on the committee?

Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
How many committees are possible if the number of men and women on the committee doesn't matter?

18C6 = 18%21%2F%286%21%2A12%21%29 = 18,564

How many committees are possible if there must be 4 women and 2 men on the committee?

8C4 * 10C2 = %288%21%2F%284%21%2A4%21%29%29%2A%2810%21%2F%282%21%2A8%21%29%29 = 3150