Suppose an ice cream parlor has 12 flavors available and the "pig out" special is an order of four scoops of ice cream. How many ways are there to order a "pig out" special that contains four different flavors of ice cream (the order of scoops doesn't matter).
Though there are obviously going to be easier methods in solving this this problem, I was wondering how this question relates to the stars and bars method, I didn't think that it did until a question specifically said to solve it in the stars and bars method
Though what I was attempting to do is flawed,
I was thinking that we can use 4 bars and 12 flavors which is 16C4 but that didn't get me the right answer
I was also wondering how one may approach this problem if flavors could be repeated? i.e. four scoops of onion flavored ice cream