Originally Posted by

**sbankica** Heather just had new neighbours move in next door and would like to make a fruit basket for

them. When her husband returned from the grocery store he had a bag containing apples,

bananas, and oranges. How many different possibilities are there for a fruit basket consisting

of exactly 36 pieces of fruit if

(a) there is an ample supply of apples and bananas, but there are only 4 oranges?

(b) there are 16 of each kind of fruit?

(c) there is an ample supply of bananas and oranges, and there are 4 distinguishable apples

(one Fuji, one Macintosh, one Spartan, and one Ambrosia)?

(In each case, fruit baskets are distinguished

solely by how many of each type of fruit they contain.)