id	title	challengeType	forumTopicId	dashedName
5900f45d1000cf542c50ff6f	Problem 240: Top Dice	5	301887	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:

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?

--hints--

euler240() should return 7448717393364182000.

assert.strictEqual(euler240(), 7448717393364182000);

function euler240() {

  return true;
}

euler240();

// solution required