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Question

The greatest positive integer which divides n(n+1)(n+2)(n+r1)nN is

A
r!
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B
(r+1)!
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C
(n+r)
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D
(nr+1)
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Solution

The correct option is D r!
P(n)=n(n+1)(n+2).......(n+r1)
where, P(r) product of r consecutive numbers which is divisible by r!
Ans: A

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