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1. How many ways are there to put 5 balls in 2 boxes if the balls are distinguishable but the boxes are not?

2. How many ways are there to put 6 balls in 3 boxes if the balls are distinguishable and the boxes are distinguishable?

3. How many ways are there to put 6 balls in 3 boxes if the balls are not distinguishable and neither are the boxes?

4. How many ways are there to put 6 balls in 3 boxes if the balls are not distinguishable but the boxes are?

5. How many ways are there to put 6 balls in 3 boxes if the balls are distinguishable but the boxes are not?

6. How many ways are there to put 6 balls in 3 boxes if three balls are indistinguishably white, three are indistinguishably black, and the boxes are distinguishable?

 Jun 18, 2018
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Go online to this page which explains the problems very well, and see ALL the formulas used on page 3 and the following examples on page 4 and 5. Good luck.

http://cns-web.bu.edu/~eric/EC500/attachments/ON(2d)LINE(20)READINGS/ballsinboxe.pdf

 Jun 19, 2018

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