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Question

# Use the formula for$_nC_r$to solve. A four-person committee is to be elected from an organization's membership of 11 people. How many different committees are possible?

Solution

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In order to solve this equation, we need to use the formula for the number of combinations, $_nC_r$ of $n$ things taken $r$ at a time.

$_nC_r=\dfrac{n!}{(n-r)!r!}$

Based on the problem, we have $n=11$ which represents the number of members and $r=4$ which represents the number of committee spots to be elected.

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