Let n be a positive integer and let a1, a2,...,a(n+1) be an real numbers in the interval [0,1). Show that there exists two integers i,j with 1<i, j<(n+1) and i doesn't equal j such that |ai - aj| < (1/n).

Ok. I can come up with an example...ai = .25 and aj = .3 and n = 5, but I'm sure that it's asking for a more general answer...

Anyone have any ideas?