Can someone please explain permutations and combinations to me?
I understand these concepts alone
>Unordered (abc = acb = bac = bca = cab = cab) and ordered (abc != acb != bac != bca != cab != cab)
>Ordered collection (Permutation)
>Unordered collection (Combination)
>The set of objects you can pick from / your choices (n)
>The set of spaces you can put them in / the number of objects you can pick (r)
>Repetitions are allowed (n stays the same)
>Repetition isn't allowed (n shrinks for every object you pick)
but it's not coming together. The combination equations make sense but the permutation ones don't.
I just want to understand Pascal and Algebra (Binomial Theorem), I don't really care about Combinatorics and shit (they're pretty interesting though).
I know, I'm a brainlet but one of you guys solved a long standing, unsolved open-problem in SUPER permutations because a fucking anime asked you to so explaining this shit to me shouldn't be so hard right?