Problem 2. Eric has a 5-foot flagpole. He has 3 different types of 2-foot flags and 2 different types of 1-foot flags. Eric has billions of each of the types of flags. Find the number of ways Eric can arrange flags that exactly fill the 10-foot flagpole (where the orders of the flags matter, and while flags of the same type are indistinguishable, flags of different types are distinguishable).