Question

Tell whether each situation is a permutation or combination. then solve.
1.how many ways can 10 students line up for lunch?

Answer 1

order matters, so you would use a permutation

Answer 2

if order didn't matter, then you would use a combination

Answer 3

Ironically, a combination lock for a locker is actually a permutation lock since order matters.

Ex: the "combination" 1-19-23 is really a permutation since order matters and that's not the same as 19-1-23

So unfortunately this adds a lot of confusion

Answer 4

if each student is unique, then it would be a permutation. However, if each student is just considered the same as every other student, then it would be a combination.

Answer 5

So because you're using a permutation, you would use this formula

n P r = (n!)/((n-r)!)

where in this case, n = 10 and r = 10

Answer 6

Thanks! Will answer the questions first then I'll let you guys check. Is it okay?it's my firs time here

Answer 7

yes

Answer 8

yes that's a great idea

so what did you get for this one?