Question

Which scenerio(s) below should be counted using permutations?
I. The number of ways to choose the 3 numbers that will open a combination lock.
II. the number of ways 2 door prize winners can be chosen from a pool of 20 people (the prizes are identical.)
III. The number of ways 2 door prize winners can be chosen from a pool of 20 people (the prizes are different.)
IV. the number of ways to roll a total of 7 when rolling a pair of dice.

Answer 1

In which of these scenarios does order matter?

Answer 2

Would it be I and III?

Answer 3

Those are the answers I would choose.

Answer 4

Thanks for the help!

Answer 5

You're welcome. Although IV is a little weird. If the dice looked different than the other one, that would also be a permutation. However, it specified a "pair," so I wouldn't count that as a permutation.