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

Respuesta :

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:[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Substitute n = 10 and r = 5

So,[tex]^{10}C_5=\frac{10!}{5!(10-5)!}[/tex]

[tex]^{10}C_5=252[/tex]

Hence There are 253 ways to select 5 participants

Answer:

252

Step-by-step explanation:

correct answer on test