<PRE><B>Question 643224</B>
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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