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Problem Solving (PS) | Re: A certain university will select 1 of 7 candidates eligible

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SoniaSaini wrote:

A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?

A. 42
B. 70
C. 140
D. 165
E. 315


One approach is to applycounting methods :

P(exactly 2 women) = [ # of teams with exactly 2women ]
...

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