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Question

# Use the formula for$_nC_r$, to solve. There are 14 standbys who hope to get seats on a flight, but only 6 seats are available on the plane. How many different ways can the 6 people be selected?

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 $n=14$ which represents the number of people waiting for available seats and $r=6$ which represents the number of seats available.

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