题目240：最大的骰子

欧拉计划

Top Dice

here 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?

题目：

给定  5个六面体骰子（面编号为 1 到 6），存在 1111 种方式使得掷出的 3 个最大值和为 15 。一些例子如下：

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

给定 20 个 12 面体骰子，存在多少种方式使得掷出的 10 个最大值和为 70？