Question

How many ways can 1st place, 2nd place, and 3rd place be chosen if there are 50 contestants in the beauty pageant?

Answer 1

`Ways = 117600`

Explanation:

Given

`n = 50`

`s= \{1,2,3\}`

Required

The number of ways

This is possible by:

`1st \to` any of the 50 people

`2nd \to` any of the remaining 49

`3rd \to` any of the remaining 48

So, the number of ways is:

`Ways = 50 * 49* 48`

`Ways = 117600`