Please answer all sections.

6. [4 points] Bill decides to distribute his baseball card collection to his three nephews. There are 600 baseball cards in the collection and each baseball card in the collection is different. (a) How many ways are there for him to distribute the baseball cards if there are no restrictions on how many go to each nephew? (b) How many ways are there for him to distribute his collection to the three nephews if he decides that each nephew should get exactly the same number of baseball cards