(a) In how many ways can you distribute 4 distinguishable balls among 6 indistinguishable boxes?
(b) In how many ways can you distribute 4 indistinguishable balls among 6 distinguishable boxes?
For both, you can distribute 4 balls in 24 different ways. The fact it is distinguishable or indistinguishable is void as it only asks for how many ways. Not if I know how I have distributed the balls.
