Question

Evaluate the given expression a.

40

c.

25

b.

32

d.

20

 


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Answer 1

it’s D

Explanation:

Answer 2

option d is correct

20

Explanation:

Formula for permutation
`_(n)P_(r)` is given by:

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

Given the expression:

`_(5)P_(2)`

here, n = 5 and r = 2

then;

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

⇒
`_(5)P_(2) = (5!)/(3!) = (1 \cdot 2 \cdot 3 \cdot 4 \cdot 5)/(1 \cdot 2 \cdot 3)`

Simplify:

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

Therefore, the value we get, 20