yaworsw/euler-manager

---
:id: 240
:name: Top Dice
:url: https://projecteuler.net/problem=240
:content: "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:  \n  \nD<sub>1</sub>,D<sub>2</sub>,D<sub>3</sub>,D<sub>4</sub>,D<sub>5</sub>
  = 4,3,6,3,5  \nD<sub>1</sub>,D<sub>2</sub>,D<sub>3</sub>,D<sub>4</sub>,D<sub>5</sub>
  = 4,3,3,5,6  \nD<sub>1</sub>,D<sub>2</sub>,D<sub>3</sub>,D<sub>4</sub>,D<sub>5</sub>
  = 3,3,3,6,6  \nD<sub>1</sub>,D<sub>2</sub>,D<sub>3</sub>,D<sub>4</sub>,D<sub>5</sub>
  = 6,6,3,3,3  \n  \nIn how many ways can twenty 12-sided dice (sides numbered 1 to
  12) be rolled so that the top ten sum to 70?\n\n"