Question

Evaluate P(5, 2)

20
60
240
10

Answer 1

P (5,2) = 20

Explanation:

First of all, we must understand two basic concepts:

A permutation is the variation of the order or position of the elements of an ordered set or a tuple.

The factorial function (symbol:!) Means that descending numbers are multiplied.

The formula to solve the permutation is:

`(n!)/((n-r)!)`

where "n" is the number of things you can choose, and you choose "r" from them (it cannot be repeated, order matters).

In the given case ...

P (n, r) =
`(n!)/((n-r)!)`

Being n = 5, and r = 2

`P(5,2)=(5!)/((5-2)!)=(5!)/(3!)=(5*4*3!)/(3!)=5*4=20`

P (5,2) = 20

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I hope this helps!

Answer 2

P(5,2) = n! /(n-r)!

n = 5, r = 2:

= (5 x 4 x 3 x 2 x 1 ) / 3 x 2 x 1

Cancel out common factors:

= 5 x 4 = 20

The answer is 20.