---
id: 5900f45d1000cf542c50ff6f
title: 'Problem 240: Top Dice'
challengeType: 5
forumTopicId: 301887
dashedName: problem-240-top-dice
---

# --description--

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:

$$\begin{align}
  & D_1,D_2,D_3,D_4,D_5 = 4,3,6,3,5 \\\\
  & D_1,D_2,D_3,D_4,D_5 = 4,3,3,5,6 \\\\
  & D_1,D_2,D_3,D_4,D_5 = 3,3,3,6,6 \\\\
  & D_1,D_2,D_3,D_4,D_5 = 6,6,3,3,3
\end{align}$$

In how many ways can twenty 12-sided dice (sides numbered 1 to 12) be rolled so that the top ten sum to 70?

# --hints--

`topDice()` should return `7448717393364182000`.

```js
assert.strictEqual(topDice(), 7448717393364182000);
```

# --seed--

## --seed-contents--

```js
function topDice() {

  return true;
}

topDice();
```

# --solutions--

```js
// solution required
```