I need help getting at general formulas that can be used with different numbers, so please explain how you arrived at your answer and provide an approach that I can use with different values.
How many ways can 50 balls be sorted into 10 boxes with 5 balls per box, a. when boxes are not labeled, but balls are, and b. when neither boxes or balls are labeled?
If there are 4 yellow balls and 46 blue balls, how many ways can balls be sorted into 10 boxes with 5 balls per box such that there are: a. 4 boxes with a yellow ball, b. 3 boxes with at least one yellow ball, c. 2 boxes with at least one yellow ball, d. 1 box with all 4 yellow balls? For this set of questions, boxes are not labeled and individual balls are not labeled except by color.
How would the answers to questions 1 and 2 change if the boxes could contain any non-zero number of balls?