## anonymous 3 years ago nPr=3024,then how to calculate the value of r?

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1. anonymous

2. UnkleRhaukus

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

3. UnkleRhaukus

Permutation

4. anonymous

first factorise 3024

5. anonymous

find the highest prime factor number in the factors here we are having 3024 = 7*3*3*3 *2*2*2*2 either start from the leading prime factor or form consecutive sequence of the factors obtained

6. anonymous

here we are having 3024 = 9*8*7*6

7. anonymous

3024 = 9*8*7*6*5! /5!= 9!/(9-4)!

8. anonymous

r=4