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A bag contains 3 balls labeled 2, 4 and 8. A ball is to be picked, the value on the label is to be recorded and then the ball is to be returned to the bag. This will be done three times and then the values will be added together. What is the sum of all of the possible distinct sums?

 Jun 16, 2020
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Well, there's:

2 + 2 + 2

2 + 2 + 4

2 + 2 + 8

 

2 + 4 + 4

2 + 4 + 8

2 + 8 + 8

 

4 + 4 + 4

4 + 4 + 8

4 + 8 + 8

 

8 + 8 + 8

 

I think that's pretty much it, correct me if I'm wrong.

 Jun 16, 2020

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