A biology teacher has 555 different pets they keep in their classroom. For an upcoming holiday break, the teacher will send the pets home with students. Suppose that 161616 of the teacher's 757575 students volunteer to take a pet home, and the teacher will randomly select 555 of those volunteers to each take 111 pet home. The permutation formula n\text{P}rnPrn, start text, P, end text, r can be used to find the number of unique ways the teacher can distribute pets to the volunteers.
