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Counting

In Probability,

Counting StrategiesWith ReplacementWithout Replacement
With Orderingnkn^kn!(n1)!n! \over (n-1)!
Without Ordering(n1+k)!(n1)! k!{(n-1+k)! \over {(n-1)! ~k!}}n!(n1)! k!n! \over {(n-1)!~k!}