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Question

If 56Pr+6: 54Pr+3=30800:1 find r.

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Solution

We have,

56Pr+654Pr+3=308001


56!(56r6)!54!(54r3)!=308001


56×55×54!(50r)!54!(51r)!=308001

3080×(51r)!(50r)!=30800


(51r)(50r)!(50r)!=10

51r=10

r=41

So, the value of r is 41.


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