Number of Permutations/Examples/4 from 52

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Example of Number of Permutations

The number of ways of choosing $4$ objects in order from a set of $52$ (for example, cards from a deck) is:

${}^4 P_{52} = 52 \times 51 \times 50 \times 49 = \dfrac {52!} {48!} = 6 \, 497 \, 400$


Proof

From Number of Permutations:

${}^4 P_{52} = \dfrac {52!} {\paren {52 - 4}!}$

$\blacksquare$


Sources