A: How many ways are there to put 6 balls in 3 boxes if the balls are distinguishable and the boxes are distinguishable?
B: How many ways are there to put 5 balls in 3 boxes if the balls are distinguishable but the boxes are not?
You can see part of the question here answered by Cphill: https://web2.0calc.com/questions/double-trouble-2-0