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Prove that the product of three consecut...

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

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Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of three consecutive integers is divisible by 6.

Knowledge Check

  • Product of 4 consecutive natural numbers is divisible by

    A
    12
    B
    13
    C
    24
    D
    16

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