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.

In which of these scenarios does order matter?

Would it be I and III?

Those are the answers I would choose.

Thanks for the help!

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.