Question

Find the value of the permutation. 8P8 = _____ (Type a whole​ number.)

Answer 1

40320

Explanation:

using the definition

n
`P_(r)` =
`(n!)/((n-r)!)`

n! = n(n - 1)(n - 2) .... × 3 × 2 × 1

then

8
`P_(8)`

=
`(8!)/((8-8)!)`

=
`(8!)/((8-8)!)`

=
`(8!)/(0!)` [ note that 0! = 1 }

=
`(8!)/(1)`

= 8!

= 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 40320