There are n balls of different colors and N lattices (n is less than or equal to N) of different sizes. The lattices are labeled as 1,2,...,N. Suppose that each ball falls into a lattice with equal probability and each lattice can hold arbitrarily many balls. Now, n balls are put into N lattices at random. Find the total number of ways to have n lattices containing one ball each, and the other N-n lattices containing no balls. (n lattices may be any n lattices out of the N lattices in total).