1. The problem statement, all variables and given/known data How many ways can a deck of 52 cards be broken up into a collection of unordered piles of sizes: Three piles of 8 cards and four piles of 7 cards? 2. Relevant equations 3. The attempt at a solution ohkay, the first step i used is to think of the different piles as labels and find all possible distribution of these labels among the 52 cards, that is equal to (51!)/((7!)^4*(8!)^3) but i dont know what to do next. Thankyou for your help!