SOLUTION: Assume that you have a committee of 13 members, made up of 6 men and 7 women. In how many ways can the 3 tasks be assigned so that both men and women are given assignments?

Algebra ->  Permutations -> SOLUTION: Assume that you have a committee of 13 members, made up of 6 men and 7 women. In how many ways can the 3 tasks be assigned so that both men and women are given assignments?       Log On


   

Question 643224: Assume that you have a committee of 13 members, made up of 6 men and 7 women.
In how many ways can the 3 tasks be assigned so that both men and women are given assignments?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that you have a committee of 13 members, made up of 6 men and 7 women.
In how many ways can the 3 tasks be assigned so that both men and women are given assignments?
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# of ways to select 3 women: 7C3
# of ways to select 3 men: 6C3
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Total # of ways to select 3: 13C3
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# of ways to select 3 so both men and
and women are given assignments:
13C3 - 7C3 - 6C3 = 286 - 35 - 20 = 286-55 = 281 ways
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Cheers,
Stan H.
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