Four dice have the numbers 7,8,9,10,11,12 on each of them. How many ways can you get a sum of 40?

Answer 1

First, let's not get spooked by the problem. The dice-maker has added six spots to each side of each die. So the problem is equivalent to that of getting a sum of 16 with regular dice. So figure out the combinations (6,6,3,1 - 6,6,2,2- etc. etc.

Answer 2

Dice 1 2 3 4
7 10 11 12 4 COMBINATIONS
10 10 10 10 1 cOMBO
8 12 8 12 2 cOMBO
11 9 11 9 2 COMBO
8 9 11 12 4 COMBO
11 11 8 10
Try writing out the various combinations using a similar diagram. Hope that helps