# Problem 240: Top Dice

![graphic](img240.gif)

There are 1111 ways in which five 6-sided dice (sides numbered 1 to 6)
can be rolled so that the top three sum to 15. Some examples are:
D1,D2,D3,D4,D5 = 4,3,6,3,5 D1,D2,D3,D4,D5 = 4,3,3,5,6 D1,D2,D3,D4,D5 =
3,3,3,6,6 D1,D2,D3,D4,D5 = 6,6,3,3,3 In how many ways can twenty
12-sided dice (sides numbered 1 to 12) be rolled so that the top ten sum
to 70?