Find the value of the permutation.
-P(4, 0)
A)1
B)24
C)2
D)48

Question

Quizplus · Accepted Answer

The formula for permutation is:
P(n,r) = n! / (n-r)!
When r=0, the formula becomes:
P(n,0) = n! / n!
Since any number divided by itself is 1, we get:
P(n,0) = 1
Therefore, the value of P(4,0) is 1. The answer is choice A. The value of a permutation, P(n,r), represents the number of ways to choose r items from a set of n items, without replacement and where order matters. 
In this case, P(4,0) means choosing 0 items from a set of 4 items with order mattering. This can only be done in one way, which is choosing nothing at all. Therefore, P(4,0) = 1. Option A is the best choice.

Find the Value of the Permutation