Question

evaluate 9P4
A. 9
B. 362,880
C. 126
D. 3024

Answer 1

Answer:

3024

Step-by-step explanation:

3024

Answer 2

Option (D) 3024 is the permutation value is the correct answer.

What is a permutation?

A permutation is an arrangement of objects in a definite order. It is a number of ways a particular set can be arranged, where the order of the arrangement matters.

For the given situation,

The value of 9P4

The formula to find permutation is

$nP_{r}=\frac{n!}{(n-r)!}$

Here, n = 9 and r = 4

⇒ $9P_{4}=\frac{9!}{(9-4)!}$

⇒ $\frac{9!}{5!}$

⇒ $\frac{5!(6)(7)(8)(9)}{5!}$

⇒ $(6)(7)(8)(9)$

⇒ $3024$

Hence we can conclude that option (D) 3024 is the permutation value is the correct answer.

Learn more about permutations here

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