Question

How do permutations and combinations differ?

Answer 1

A permutations is an arrangement, so the order of its elements matters; on the other hand, a combination is a subset, so the order of its elements does not matter.

---

Example

All permutations of two elements from `{a,b,c}` are:

`ab, ba, ac,ca, bc`, and `cb`

All combinations of two elements from `{a,b,c}` are:

`{a,b}, {a,c}`, and `{b,c}`

---

I hope that this was helpful.