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 each take 1 pet home. The permutation formula nPr 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=◻],[r=◻]:}

Question

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 each take 1 pet home. The permutation formula  nPr 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=◻],[r=◻]:}

Bytelearn · Accepted Answer

Understand n and r: To determine the appropriate values of n and r for the permutation formula, we need to understand what n and r represent in the context of permutations. In the permutation formula nPr, n represents the total number of items or options to choose from, and r represents the number of items to be chosen.Identify n and r: In this scenario, n would be the number of students who volunteered to take a pet home, since the teacher is choosing from these students. There are 16 students who volunteered.Determine n and r values: r would be the number of pets that need to be taken home, since the teacher is selecting students for each pet. There are 5 pets that need to be taken home.Calculate permutation: Therefore, the appropriate values for the permutation calculation are n = 16 and r = 5.

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