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---
id: 5900f45d1000cf542c50ff6f
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title: 'Problema 240: Dados superiores'
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challengeType: 5
forumTopicId: 301887
dashedName: problem-240-top-dice
---
# --description--
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Há 1111 maneiras pelas quais cinco dados de 6 lados (lados numerados de 1 a 6) podem ser rolados de modo que os três maiores somem 15. Alguns exemplos:
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$$\begin{align} & D_1,D_2,D_3,D_4,D_5 = 4,3,6,3,5 \\\\
& D_1,D_2,D_3,D_4,D_5 = 4,3,3,5,6 \\\\ & D_1,D_2,D_3,D_4,D_5 = 3,3,3,6,6 \\\\
& D_1,D_2,D_3,D_4,D_5 = 6,6,3,3,3 \end{align}$$
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De quantas maneiras vinte dados de doze lados (lados numerados de 1 a 12) podem ser rolados de modo que a soma dos dez maiores seja 70?
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# --hints--
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`topDice()` deve retornar `7448717393364182000` .
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```js
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assert.strictEqual(topDice(), 7448717393364182000);
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```
# --seed--
## --seed-contents--
```js
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function topDice() {
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return true;
}
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topDice();
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```
# --solutions--
```js
// solution required
```