Question

Evaluate the following equation:

9P6


a. 60480
b. 60505
c. 60495
d. 60470

Answer 1

The answer is=A)60480

Answer 2

Option: a is the answer.

a. 60480

Explanation:

We are asked to find the value of:

`9_P_6`

where P represents the permutation i.e. the arrangement of 6 components out of the 9 components.

We know that a permutation of choosing r elements out of the n elements is calculated as:

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

Now, the value of
`9_P_6` is:

`9_P_6=(9!)/((9-6)!)\\\\9_P_6=(9!)/(3!)\\\\9_P_6=(9* 8* 7* 6* 5* 4* 3!)/(3!)\\\\9_P_6=9* 8* 7* 6* 5* 4\\\\9_P_6=60480`

Hence, option a is the correct answer.

a. 60480