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

so the possibilities are:

2,2,2

4,4,4

8,8,8

2,2,4

2,2,8

2,4,2

2,8,2

2,4,4

2,8,8

2,4,8

2,8,4

4,2,2

4,8,8

4,2,8

4,8,2

4,8,4

4,2,4

4,4,2

4,4,8

8,2,2

8,4,4

8,4,2

8,2,4

8,8,2

8,8,4

8,4,8

8,2,8

If you add them all up you get 378

These are all the possible outcomes this took a long time so mark me brainlist please