Statement 1: Product of five consecutive natural numbers is divisible by 4!. Statement 2: Product of n consecutive natural numbers is divisible by (n+1)!.

JEE Main Mathematics question

Statement 1: Product of five consecutive natural numbers is divisible by . Statement 2: Product of consecutive natural numbers is divisible by .

(A)Assertion is True, Reason is True; Reason is correct explanation for Assertion
(B)Assertion is True, Reason is True; Reason is not correct explanation for Assertion
(C)Assertion is True, Reason is FalseCorrect
(D)Assertion is False, Reason is True

Answer: (C)

The product of consecutive natural numbers is divisible by (it is ), so the product of five consecutive numbers is divisible by , hence by ;

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Question ID VK-020629