Brain Teaser

[math25brainy]

The answer is 17 combinations... I need help listing the combinations!!! Thanks.
Katie and her friend Jackson went to the grocery store. Jackson bought 3 apples and 4 oranges. Katie bought apples, oranges, and bananas. She bought the same total number of fruits as Jackson. How many possible combinations of fruits could Katie have bought?

 

[Cubist]

I think the answer is 3 combinations...

  aaa bb oo
  aa bbb oo
  aa bb ooo

because she bought a plural amount of all three fruits, meaning two or more!

Allowing a minimum of one, the answer would be 15 not 17.