» Permutations

A permutation is, in combinatorics, a sequence formed from the elements of a finite set in which each element appears exactly once. The number of permutations is n factorial.

Number of permutations

$$P_{n}=n!=1\times2\times\dots\times(n-1)\times n$$


where,

Pnβ€” number of permutations of n elements;
n!β€” n factorial.

See also:

Permutation FAQ

What is a permutation?

A permutation is an arrangement of distinct elements where the order matters.

What is the formula for the number of permutations?

The number of permutations of n distinct elements is Pn = n!, where n! is n factorial.