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10 cards from this deck
120120120
Divide out repetitions by their factorials
Add for different cases, multiply within a case
Choosing items where order is important
Choosing items where order does not matter
n!(n−r)!\frac{n!}{(n-r)!}(n−r)!n!
n!r!(n−r)!\frac{n!}{r!(n-r)!}r!(n−r)!n!
Order of choice is important
Order of choice does not matter
n!n!n!
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