When the order doesn't matter, it is a Combination
A club has male and female members.
The club is choosing a committee of members.
The committee must have male and female members.
How many different committees can be choosen?
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1 solution
Since we are dealing with combinations, o r d e r doesn't matter. Hence the no. of ways choosing a male member is 1 . Now ways to choose 2 0 women out if 2 4 is
( 2 0 2 4 ) = 1 0 6 2 6 .
Final answer is 1 × 1 0 6 2 6 = 1 0 6 2 6