a. How many ways are there to put 6 balls in 3 boxes if the balls are not distinguishable but the boxes are?
b. How many ways are there to put 6 balls in 3 boxes if the balls are distinguishable but the boxes are not?\
a. There are 12 ways of distributing the balls.
b. There are 1 + 2 + 4 = 7 ways of distributing the balls.
