JEE Advanced (True/False): Permutations & Combinations

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

Ans. T

Sol.  Consider

= some integral value
⇒ (n + 1) (n + 2) ...(n + r)  is divisible by r!
Thus given statement is true.

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