Question

Evaluate the given expression. Subscript 5 Baseline P Subscript 2 a. 40 c. 25 b. 32 d. 20

Answer 1

D-20

Explanation:

Answer 2

d. 20

Explanation:

The given question implies 5 permutation 2, i.e
`_(5)`
`P_(2)`.

But,

`_(n)`
`P_(r)` =
`(n!)/((n - r)!)`

So that for
`_(5)`
`P_(2)`, n = 5 and r = 2.

`_(5)`
`P_(2)` =
`(5!)/((5 - 2)!)`

=
`(5!)/(3!)`

=
`(5*4*3*2!)/(3*2!)`

Cancel out 3 and 2 with respect to the numerator and denominator.

`_(5)`
`P_(2)` = 5 * 4

= 20

Therefore,

`_(5)`
`P_(2)` = 20

So that the correct option is D.