Question

Prove that the product of n consecutive integers is divisible by n!.

Answer 1

Answer:

Let a + (a+1) + (a+2) + (a+3) + …. +(a+n-1) represent the n consecutive numbers. Well, here we go… the product of n consecutive numbers, the biggest being x, is x choose n times n factorial. So not onl is the product divisible by n, ist is also divisible by n!