Statistics Problem :( An art collector, who owns 10 paintings by famous artists, is preparing her will. In how many different ways can she leave these paintings to her three heirs? Reasoning this out, she can leave 10 to the first heir & 0 to the others, 9 two the first heir & 1 to either of the others, etc. But, without creating a tree diagram which would be timely, how can I represent this? The back of the book gives an answer of 59,049 ways, but I'm just lost regarding how to set everything up.