# Number of Permutations/Examples/4 from 52

## 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

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

$\blacksquare$