How many ways are there to distribute five balls into

Chapter 9, Problem 58E

(choose chapter or problem)

Problem 58E

How many ways are there to distribute five balls into three boxes if each box must have at least one ball in it if

a) both the balls and boxes are labeled?

b) the balls are labeled, but the boxes are unlabeled?

c) the balls are unlabeled, but the boxes are labeled?

d) both the balls and boxes are unlabeled?

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