Statement-1: `n(n+1)(n+2)` is always divisible by 6 for all `n in N`.
Statement-2: The product of any two consecutive natural number is divisible by 2.

The product of n consecutive natural numbers is always divisible by

The product of n consecutive natural numbers is always divisible by

Show that product of any n consecutive integers is always divisible by n!

Prove that the product of 2n consecutive negative integers is divisible by (2n)!

Prove that the product of 2n consecutive negative integers is divisible by (2n)! .

Statement - I : For every natural number ((n+4)!)/((n+1)!) is divisible by 6. Statement - II : Product of three consective natural numbers is divisible by 3 !