Question about permutation, combination?

Question

Show work!
There are 27 sutdents in class. each week students are randomly selected to act as student tutors in a first grade class.
A, how many different ways are there of selectioing a group of 5 students?
( hint: work as permutation or cmbination or neither)

Answer 1

27 ways to pick the first person in the group
26 ways to pick the second
25 ways to pick the third
24 ways to pick the fourth
23 ways to pick the fifth.

However, order is irrelevant, so we need to divide by 5!.

This is 27 choose 5
= 27 x 26 x 25 x 24 x 23 / 120
= 80,730 ways