Question

How do you Evaluate 5P3

Answer 1

Answer:

$P(5,3)=60$

Step-by-step explanation:

Given:

Given permutation is.

$P(5,3)$

$n=5$

$r=3$

We need to solve the given permutation.

Solution:

Permutation formula is written as.

$P(n,r)=\dfrac{n!}{(n-r)!}$

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.

$P(5,3)=\dfrac{5!}{(5-3)!}$

$P(5,3)=\dfrac{5!}{2!}$

$P(5,3)=\dfrac{5\times 4\times 3\times 2!}{2!}$

Factorial 2 is cancel in both numerator and denominator.

$P(5,3)=5\times 4\times 3$

$P(5,3)=60$

Therefore, Permutation of $P(5,3)=60$