Answer:
[tex]^5P_2=20[/tex]
d is the correct option.
Step-by-step explanation:
We have to find the value of the expression [tex]^5P_2[/tex]
The formula for permutation is given by
[tex]^nP_r=\frac{n!}{(n-r)!}[/tex]
Here, n = 5, r = 2. Thus plugging these values in the formula, we get
[tex]^5P_2=\frac{5!}{(5-2)!}[/tex]
On simplifying, we get
[tex]^5P_2=\frac{5!}{3!}\\\\=\frac{3!\times4\times5}{3!}\\\\=4\times5\\\\=20[/tex]
Therefore, the value of the expression is 20.
d is the correct option.
