The product of r consecutive positive integers is divisible by

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(r-1)!

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(r+1)!

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None of these

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Solution

The correct option is A
r!

The product of r consecutive integers is equal to r! , so it will be divisible by r!.

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Similar questions

1. Prove that the product of two consecutive positive integers is divisible by 2.

2. Prove that the product of three consecutive integers is divisible by 6.

r

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