SOLUTION: A committee of 4 people is to be chosen from 5 married couples. find in how many ways the committee can be chosen if the committee should include at least one woman.

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Question 868916: A committee of 4 people is to be chosen from 5 married couples. find in how many ways the committee can be chosen if the committee should include at least one woman.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming there are 5 males and 5 females in the couples, there are
N%5Btotal%5D=10%2A9%2A8%2A7=5040 possible ways to choose.
Out of those there are 5 possible choices that are only males chosen.
So then the number of choices with at least one female would be
N%5B1F%5D=5040-5=5035