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10 cards from this deck
Choosing between alternatives (or)
Sequential choices (and)
Arrangements where order matters
Selections where order doesn't matter
n!(n−r)!\frac{n!}{(n-r)!}(n−r)!n!
n!r!(n−r)!\frac{n!}{r!(n-r)!}r!(n−r)!n!
Multiply all whole numbers from that number down to 1
120120120
Order matters = permutations; order doesn't = combinations
(nr)\binom{n}{r}(rn)
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