In his refrigerator, Mr. Hemingway has 3 cans of Coke, 4 cans of Pepsi, and 2 cans of Mountain Dew. He wishes to arrange them on one shelf. In how many different ways can he arrange the 9 cans? (Keep in mind, the 3 cans of Coke look identical; as do the 4 cans of Pepsi and the 2 cans of Mountain Dew.)