Question

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

Answer 1

Answer:

d. 20

Step-by-step explanation:

The given question implies 5 permutation 2, i.e $_{5}$$P_{2}$.

But,

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

So that for $_{5}$$P_{2}$, n = 5 and r = 2.

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

     = $\frac{5!}{3!}$

    = $\frac{5*4*3*2!}{3*2!}$

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.

Answer 2

Answer:

D-20

Step-by-step explanation: