The ski club at Tula Tech has 35 members (15 females and 20 males).
A committee of 3 members – a President, a Vice President, and a Treasurer – must be chosen.
1. How many different 3-member committees can be chosen?
There are 35 choices for the President, 34 choices for the V.P., ad 33 choices for the Treasurer.
There are: .\(\displaystyle 35\cdot34\cdot33 \:=\:39,\!270\) possible committees.
How many different 3-member committees can be chosen . . if the president must be female?
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