MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
21
A 21
A 21
Source:
May 25, 2007
Divisibility Theory
Problem Statement
Let n be a positive integer. Show that the product of
n
n
n
consecutive positive integers is divisible by
n
!
n!
n
!
Back to Problems
View on AoPS