5.4.2 How many ways are there to put 5 balls in 3 boxes if
(a) the balls are distinguishable and the boxes are distinguishable?
(b) the balls are distinguishable but the boxes are not?
(c) the balls are not distinguishable but the boxes are?
(d) the balls are not distinguishable and neither are the boxes?
(e) Can you explain why your answer to part (b) is not simply your answer to part (a) divided by