Question

Simplify the expression. 10P8

Answer 1

10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 = 1814400

Answer 2

10P8= 1,814,400

Explanation:

Given: 10P8

It is a permutation.

We have formula to find the permutation.

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

Here n = 10 and r = 8

Now plug in the given values in the above formula, we get

`10P8 = (10!)/((10 - 8)!)`

= 10!/2! [n! = 1*2*3*4...n]

= 10*9*8*7*6*5*4*3*2*1 / 1*2

Cancelling out 1 and 2 both in the numerator and the denominator, we get

= 10*9*8*7*6*5*4*3

10P8= 1,814,400