Answer:
[tex]P(5,3)=60[/tex]
Step-by-step explanation:
Given:
Given permutation is.
[tex]P(5,3)[/tex]
[tex]n=5[/tex]
[tex]r=3[/tex]
We need to solve the given permutation.
Solution:
Permutation formula is written as.
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
Where:
P ⇒ Permutation
n ⇒ Total number of objects.
r ⇒ Number of object taken at a time.
Now we substitute n, r value in above formula.
[tex]P(5,3)=\dfrac{5!}{(5-3)!}[/tex]
[tex]P(5,3)=\dfrac{5!}{2!}[/tex]
[tex]P(5,3)=\dfrac{5\times 4\times 3\times 2!}{2!}[/tex]
Factorial 2 is cancel in both numerator and denominator.
[tex]P(5,3)=5\times 4\times 3[/tex]
[tex]P(5,3)=60[/tex]
Therefore, Permutation of [tex]P(5,3)=60[/tex]
