(a) In how many ways can you distribute 4 distinguishable balls among 3 indistinguishable boxes?
(b) In how many ways can you distribute 4 indistinguishable balls among 5 distinguishable boxes?
(a)
sumfor(k, 0, 3, (4 nCr k))==15 ways - without any restrictions
(b)
[4 + 5 - 1] C [4] ==8 C 4 ==70 ways - without any restrictions