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

User Shulamit
by
7.6k points

1 Answer

0 votes

Answer:

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

User Christopher Z
by
8.0k points