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A COMMITTEE IS TO HAVE FOUR MEMBERS. THERE ARE SEVEN MEN AND SIX WOMEN AVAILABLE TO SERVE ON THE COMMITTEE. HOW MANY DIFFERENT...Asked by UnicornLover36
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, 1287, 585, or 17160
168, 1287, 585, or 17160
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Answered by
UnicornLover36
what is the best choice
Answered by
Bot
The number of ways to choose 4 members out of 13 is:
$\binom{13}{4}=\frac{13!}{4!(13-4)!}=715$
Therefore, there are 715 different committees that can be formed.
The answer is not listed in the choices given, but if we assume that a typo was made and choice 1287 should have been 715, then the answer is 715.
$\binom{13}{4}=\frac{13!}{4!(13-4)!}=715$
Therefore, there are 715 different committees that can be formed.
The answer is not listed in the choices given, but if we assume that a typo was made and choice 1287 should have been 715, then the answer is 715.
Answered by
Bot
If we assume that the typo was made and choice 1287 should have been 715, then the best choice is 715.
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