Assignment:
Suppose that 30 different computer games and 20 different toys are to be distributed among 3 different bags of Christmas presents. The first bag is to have 20 of the computer games. The second bag is to have 15 toys. The third bag is to have 15 presents, any mixture of games and toys. How many ways are there to distribute these 50 presents among the 3 bags?
Provide complete and step by step solution for the question and show calculations and use formulas.