Question

Evaluate P(4, 2)
24
12
6

Answer 1

12 is the answer you are lkkoing for

Answer 2

Option (b) is correct

`^4P_2=12`

Explanation:

Given: P(4,2)

We have to evaluate the value of P(4,2)

Consider the permutation P(4,2).

The possibility of choosing an ordered set of r object from n object is given by

`^nP_r=(n!)/((n-r)!)`

here, n = 4 and r = 2

Thus,

`^4P_2=(4!)/((4-2)!)`

Simplify, we have,

`^4P_2=(4!)/((2)!)=(4\cdot 3\cdot 2!)/(2!)=12`

Thus,
`^4P_2=12`