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Start with the given formula
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Plug in
and
Subtract
to get 8
Calculate 12! to get 479,001,600 (note: if you need help with factorials, check out this
solver)
Calculate 8! to get 40,320
Divide 479,001,600 by 40,320 to get 11,880
So 12 choose 4 (where order does matter) yields 11,880 unique combinations
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