Question

A teacher selects students from her class of 37 students to do 4 different jobs in the classroom: pick uphomework, hand out review forms, staple worksheets, and sort the submissions. Each job is performedby exactly one student in the class and no student can get more than one job. How many ways arethere for her to select students and assign them to the jobs?

Answer 1

There are 1,585,080 ways for her to select students and assign them to the jobs

Explanation:

The order in which the students are selected is important, since different orderings means different jobs for each student selected. So the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

`P_((n,x)) = (n!)/((n-x)!)`

In this problem:

4 students selected from a set of 37. So

`P_((37,4)) = (37!)/((37-4)!) = 1585080`

There are 1,585,080 ways for her to select students and assign them to the jobs