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Question

If Pr6=360 and if Cr6=15, find r?


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Solution

Find the value of r.

We know that, Prn=Crn×r!

Put, n=6, we get,

Pr6=Cr6×r!

Put Pr6=360 and Cr6=15, we get,

360=15×r!

r!=36015

r!=24

We know that 4!=4×3×2×1=24

r!=4!

r=4

Hence, the value of r is 4.


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