Too Many Oranges

Chef has $N$ oranges with him. Each orange has either $10, 11, $ or $12$ slices. Chef wanted to eat **exactly** $K$ slices of orange. However, the oranges were too tasty, and Chef ended up eating all $N$ of them! Chef wasn't paying attention, so he didn't count the number of slices he ate, and he also doesn't know how many slices each orange had - the only thing he knows is that each orange has