Question

Evaluate the given expression a.

Answer 1

Answer:

option d is correct

20

Step-by-step explanation:

Formula for permutation $_{n}P_{r}$ is given by:

$_{n}P_{r} = \frac{n!}{(n-r)!}$

Given the expression:

$_{5}P_{2}$

here, n = 5 and r = 2

then;

$_{5}P_{2} = \frac{5!}{(5-2)!}$

⇒$_{5}P_{2} = \frac{5!}{3!} = \frac{1 \cdot 2 \cdot 3 \cdot 4 \cdot 5}{1 \cdot 2 \cdot 3}$

Simplify:

$_{5}P_{2} =20$

Therefore, the value we get, 20