Question

A research group recruits 10 volunteers to try a new brand of tennis shoes. Only 5 volunteers will be selected to participate in the study.

How many ways can the research group select 5 participants? Enter your answer as a number, such as: 425

Answer 1

252

Explanation:

correct answer on test

Answer 2

There are 253 ways to select 5 participants

Explanation:

Total number of volunteers to try a new brand of tennis shoes = 10

Number of volunteers to be selected = 5

We are supposed to find number of ways the research group select 5 participants.

We will use combination:

Formula:
`^nC_r=(n!)/(r!(n-r)!)`

Substitute n = 10 and r = 5

So,
`^(10)C_5=(10!)/(5!(10-5)!)`

`^(10)C_5=252`

Hence There are 253 ways to select 5 participants