The number of different permutations of n different things taken k at a time without repetitions is

1

\(\frac{{n!}}{{k!}}\)

2

\(\frac{{n!}}{{\left( {n - k} \right)!}}\)

3

\(\frac{{n!}}{{k!\left( {n - k} \right)!}}\)

4

nk

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