# There are 14 standbys who hope to get on your flight to Hawaii, but only 6 seats are available on the Plane. How many different ways can the 6 people be selected?

May 1, 2018

The answer is 14 choose 6.
That is: 3003

#### Explanation:

The formula for computing the number of ways to select k things from n items is (n!)/[k!(n-k)!]
Where a! means the factorial of a. The factorial of a number is simply the product of all natural numbers from 1 till the given number(the number is included in the product).

So the answer is (14!)/(6!8!)
$= 3003$