Ten identical cookies are to be distributed among 5 different kids (A, B, C, D, and E). All ten cookies are distributed. How many different ways can the five kids be given cookies? HINT: you could keep track of all the different combinations: first assume A gets 10, then A gets 9, then .... but there is a faster way of doing it, that allows one to solve it in one's head, without paper, without pens! (standard problem)