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

Answer:

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.

$8! = 8\times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 40,320$

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

Answer 2

Answer:

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

Step-by-step explanation:

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