How do you simplify the factorial expression (10!)/(8!)?

1 Answer
Feb 7, 2017

90.

Explanation:

Recall that, (n!)=n(n-1)(n-2)...3xx2xx1,

=n{(n-1)(n-2)(n-3)...3xx2xx1}

rArr (n!)=n{(n-1)!}...............(ast)

:. (10!)/(8!)={10(9!)}/(8!), ...............[because, (ast)]

=[(10){9(cancel(8!))}]/cancel(8!)

=(10)(9)

=90.