## Related questions with answers

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

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3In 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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