Question

If 9pr = 3024 ,find r

Answer 1

9Pr = 3024

9!/(9-r)! = 3024

(9-r)! = 9!/3024

(9-r)! = 120

(9-r)! = 5!

9-r = 5

r = 4

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Answer 2

Answer:

r =4

Step-by-step explanation:

Given : $^9p_r = 3024$

To find : r

Solution:

Formula : $^nP_r=\frac{n!}{(n-r)!}$

Now substitute n = 9

$^9P_r=\frac{9!}{(9-r)!}$

Since we are given that $^9p_r = 3024$

So,  $\frac{9!}{(9-r)!}=3024$

$\frac{9!}{(9-r)!}=3024$

$r=4$

Hence the value of r is 4