Question

Explain what is meant by the statement "combinations are a subset of permutations."

Answer 1

I'll give an example. Those are good sometimes.
Let's say we have a selection of three letters: A, B, and C.
What are all of the permutations possible?
ABC is one.
ACB is another.
BAC, BCA, CAB, and CBA are the other four. They're all unique permutations, though. We have 6 permutations of those letters!

How many combinations can be made? Order does NOT matter now, so in this sense ABC and ACB are the same combination. And so is BAC. In fact, there is only one way to choose 3 objects from a set of 3 and that is by selecting all three and tossing them into a pot and calling them the combination.

Answer 2

Generally, when we are finding combinations, we start with the permutations possible.
>> That was ABC, ACB, BAC, ... etc.
Then we go on to say, which ones are the same objects combined?

Answer 3

You end up removing a lot of possibilities from a permutation and the end result is the combinations possible. Does that make some sense?

Answer 4

yes it does thanks

Answer 5

Alright, glad to help. :)