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Counting

In Probability,

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