Respuesta :

[tex] \frac{n!}{n-r!} [/tex] is the formula

Answer: [tex]\frac{n!}{(n-r)!}[/tex]

Step-by-step explanation:

  • Permutation is a way of arranging the elements of a set into a order or a sequence . Here order matters.

The number of permutations of n things taken r at a time is given by the following formula:

[tex]^nP_r=\frac{n!}{(n-r)!}[/tex]

Therefore, the  formula for the number of permutations of n things taken r at a time is [tex]\frac{n!}{(n-r)!}[/tex]