Question

A psychologist designs an 8-item pain survey asking athletes to identify their level of pain after a football injury. She is

considering either a 5-point scale or a 10-point scale. In how many different ways could a person answer each
survey?
Select all that apply.​

Answer 1

There are 5^8 possible ways to answer the survey with a 5-point scale.

Explanation:

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Answer 2

There are
`8!` ways to answer.

Step-by-step explanation:

We know that the survey has 8 items, that means we can use the factorial number, because it's a simple permutation.

Using a factorial we have

`n!` where
`n=8`, which is the total number of items.

`8! = 8* 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320`

Therefore, there are 40,320 ways to answer the survey, or 8! ways.