## Related questions with answers

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

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

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