Question

(25 pts)

Which below is largest when evaluated?

A. 8P5

B. 9P1

C. 9P6

D.8P1


Please select the best answer from the choices provided

A
B
C
D

Answer 1

C. 9P6

Explanation:

Given choices are :

A. 8P5

B. 9P1

C. 9P6

D.8P1

Now we need to find about which below is largest when evaluated.

So let's evaluate them using formula:

`nPr=(n!)/(\left(n-r\right)!)`

`8P5=(8!)/(\left(8-5\right)!)=(8!)/(\left(3\right)!)=6720`

`9P1=(9!)/(\left(9-1\right)!)=(9!)/(\left(8\right)!)=9`

`9P6=(9!)/(\left(9-6\right)!)=(9!)/(\left(3\right)!)=60480`

`8P1=(8!)/(\left(8-1\right)!)=(8!)/(\left(7\right)!)=8`

Largest value among those numbers is 60480.

Hence correct choice is C. 9P6