Question

Evaluate the given expressions 5P2

Answer 1

Answer:

d. 20

Step-by-step explanation:

The number of permutations of n things taken k at a time is ...

nPk = n!/(n-k)!

5P2 = 5!/3! = 5·4 = 20

Answer 2

Answer:

$^5P_2=20$

d is the correct option.

Step-by-step explanation:

We have to find the value of the expression $^5P_2$

The formula for permutation is given by

$^nP_r=\frac{n!}{(n-r)!}$

Here, n = 5, r = 2. Thus plugging these values in the formula, we get

$^5P_2=\frac{5!}{(5-2)!}$

On simplifying, we get

$^5P_2=\frac{5!}{3!}\\\\=\frac{3!\times4\times5}{3!}\\\\=4\times5\\\\=20$

Therefore, the value of the expression is 20.

d is the correct option.