Question

ticket selection how many different ways can 4 tickets be selected from 36 tickets if each ticket wins a different prize? there are ways for the tickets to be selected.

Explanation:

Step1: Identify the permutation formula

The formula for permutations is $P(n,r)=\frac{n!}{(n - r)!}$, where $n$ is the total number of items and $r$ is the number of items to be selected. Here $n = 36$ and $r=4$.

Step2: Calculate the factorial values

$n!=36!$ and $(n - r)!=(36 - 4)!=32!$. Then $P(36,4)=\frac{36!}{32!}=\frac{36\times35\times34\times33\times32!}{32!}$.

Step3: Simplify the expression

Cancel out the $32!$ terms. We get $36\times35\times34\times33=1413720$.

Answer:

$1413720$