nPr=3024,then how to calculate the value of r?

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nPr=3024,then how to calculate the value of r?

MIT 18.03SC Differential Equations
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\[^nP_r=\frac{n!}{(n-r)!}\]
Permutation

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Other answers:

first factorise 3024
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
here we are having 3024 = 9*8*7*6
3024 = 9*8*7*6*5! /5!= 9!/(9-4)!
r=4

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