A COMMITTEE IS TO HAVE FOUR MEMBERS. THERE ARE SEVEN MEN AND SIX WOMEN AVAILABLE TO SERVE ON THE COMMITTEE. HOW MANY DIFFERENT COMMITTEES CAN BE FORMED?
168
1,287
585
17,160
2 answers
The number of ways to choose four members out of thirteen is given by the combination ${13 \choose 4} = \frac{13!}{4!9!} = 715$. Therefore, there are $\boxed{715}$ different committees that can be formed.
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