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

Answer:

There are 253 ways to select 5 participants

Step-by-step 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:$^nC_r=\frac{n!}{r!(n-r)!}$

Substitute n = 10 and r = 5

So,$^{10}C_5=\frac{10!}{5!(10-5)!}$

$^{10}C_5=252$

Hence There are 253 ways to select 5 participants