A student's teacher decided to bring donuts to class the day before break. In the teacher's munchkin box are 18 chocolate munchkins, 12 cinnamon munchkins, 14 powdered munchkins, and 7 glazed munchkins. The student grabs a handful of 8 munchkins.
How many different handfuls could the student have grabbed?
Since the munchkins of each flavor are identical I was thinking of using the stars and bars approach but I'm a little confused what to do with the number of each type.
Originally I was thinking there would be 3 bars to account for the 4 different donut types and $8$ stars to account for the handful of 8 munchkins taken by the student. However since there are a lot of chocolate munchkins the student will be more likely to grab more chocolate munchkins and my approach doesn't take this detail into consideration. Can someone help give me a hint on how to approach this question?