Question

Compute the permutations and combinations.

5 P 3

30
60
120

Answer 1

The answer is b.
5 P 3 = 60

Answer 2

Hence, the value of the given permutation is:

60

Explanation:

We have to compute the value of the permutation:

`5_P_3`

We know that the arrangement of r objects out of total n objects is calculated by the method of permutation and is given as:

`n_P_r`

which is given by:

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

Hence,

`5_P_3=(5!)/((5-3)!)\\\\5_P_3=(5!)/(2!)\\\\\\5_P_3=(5* 4* 3* 2)/(2)\\\\\\5_P_3=5* 4* 3\\\\\\5_P_3=60`

Hence, the value is:

60