Answer:
option d is correct
20
Step-by-step explanation:
Formula for permutation [tex]_{n}P_{r}[/tex] is given by:
[tex]_{n}P_{r} = \frac{n!}{(n-r)!}[/tex]
Given the expression:
[tex]_{5}P_{2}[/tex]
here, n = 5 and r = 2
then;
[tex]_{5}P_{2} = \frac{5!}{(5-2)!}[/tex]
⇒[tex]_{5}P_{2} = \frac{5!}{3!} = \frac{1 \cdot 2 \cdot 3 \cdot 4 \cdot 5}{1 \cdot 2 \cdot 3}[/tex]
Simplify:
[tex]_{5}P_{2} =20[/tex]
Therefore, the value we get, 20
