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True/False: Permutations and Combinations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

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Q.1. The product of any r consecutive natural numbers is always divisible by r!. (1985 - 1 Mark)

Ans. T

Sol.  Consider 
 True/False: Permutations and Combinations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE
True/False: Permutations and Combinations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE
True/False: Permutations and Combinations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE  = some integral value
⇒ (n + 1) (n + 2) ...(n + r)  is divisible by r!
Thus given statement is true.

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