Prove that product of r consecutive positive integers is divisible by r!.

Prove that the product of two consecutive positive integers is divisible by 2.

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

The product of consecutive positive integers is divisible by a. r ! b. r !+1 c. (r+1)! d. none of these

Prove that one of every three consecutive positive integers is divisible by 3.

Prove that one of every three consecutive positive integers is divisible by 3.

Prove that product of four consecutive positive integers increased by 1 is perfect square.

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

Property:Product of r consecutive number is divisible by r!

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.

The product of three consecutive positive integers is 8 times the sum of the three numbers. What is the sum of the three integers?