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Nina [5.8K]
3 years ago
13

How do you Evaluate 5P3

Mathematics
1 answer:
vichka [17]3 years ago
4 0

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

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