Question

What is ₙP₀?
a. 0
b. 1
c.n
d. It cannot be determined

Answer 1

The value of ₙP₀ is always 1 as it represents the number of permutations of n objects taken 0 at a time.

Step-by-step explanation:

The notation ₙP₀ represents the number of permutations of n objects taken 0 at a time. When we take 0 objects, there is only one way to arrange them, which is an empty set. Therefore, ₙP₀ is always equal to 1.

Answer 2

b

Step-by-step explanation:

using the definition of n
`P_(r)`

That is the number of permutations of r objects selected from n unlike objects.

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

where n! = n(n - 1)(n - 2)........ 3 × 2 × 1

given

n
`P_(0)`

=
`(n!)/((n-0)!)` =
`(n!)/(n!)` = 1