A biology teacher has 5 different pets they keep in their classroom. For an upcoming holiday break, the teacher
will send the pets home with students. Suppose that 16 of the teacher's 75 students volunteer to take a pet
home, and the teacher will randomly select 5 of those volunteers to cach take 1 pet home.
The permutation formula n Pr can be used to find the number of unique ways the teacher can distribute pets to
the volunteers
What are the appropriate values of n and r?
n
1

Question

24-01-2022
Mathematics

contestada

A biology teacher has 5 different pets they keep in their classroom. For an upcoming holiday break, the teacher
will send the pets home with students. Suppose that 16 of the teacher's 75 students volunteer to take a pet
home, and the teacher will randomly select 5 of those volunteers to cach take 1 pet home.
The permutation formula n Pr can be used to find the number of unique ways the teacher can distribute pets to
the volunteers
What are the appropriate values of n and r?
n
1

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adioabiola adioabiola · Answer 1 · 2022-02-03T10:56:21+01:00

The number of unique ways the teacher can distribute pets to the volunteers is given by nPr with; n =16 and r = 5.

Permutations and arrangement.

The term permutation represents the number of unique ways in which an arrangement can be carried out from a set of given possible choices.

According to the given question;

Although, there are 75 students in the class, only, only 16 students volunteered to take a pet home.

Therefore, the teacher only has 16 students to select from. Hence, n= 16. The teacher needs to choose 5 among the volunteer students to take a pet home, hence, r= 5.

On this note, the given permutation is nPr with; n=16 and r= 5.