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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?

 

 

378 is sadly wrong...

 Jun 16, 2020
 #1
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Since you want distinct sums, order is not important.

 

2 + 2 + 2  =  6

2 + 2 + 4  =  8

2 + 2 + 8  =  12

2 + 4 + 4  =  10

2 + 4 + 8  =  14

2 + 8 + 8  =  18

4 + 4 + 4  =  12

4 + 4 + 8  =  16

4 + 8 + 8  =  20

8 + 8 + 8  =  24

 

Sum  =  140

 Jun 16, 2020

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