Laci's wardrobe has 11 shirts of different colors. In how many ways can he divide these shirts into three piles so that the first pile has 2 shirts, the second pile has 3 shirts, and the third pile has 6 shirts?
I think she has 11 choose 2 ways to divide into first pile. 9 choose 3 ways to divide into seconnd pile and 6 choose 6 ways to divide into third pile.
would the answer be 11 choose 2 * 9 choose 3?