freeCodeCamp/curriculum/challenges/japanese/10-coding-interview-prep/project-euler/problem-369-badugi.md

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f4de1000cf542c50fff0	Problem 369: Badugi	5	302030	problem-369-badugi

--description--

In a standard 52 card deck of playing cards, a set of 4 cards is a Badugi if it contains 4 cards with no pairs and no two cards of the same suit.

Let f(n) be the number of ways to choose n cards with a 4 card subset that is a Badugi. For example, there are 2\\,598\\,960 ways to choose five cards from a standard 52 card deck, of which 514\\,800 contain a 4 card subset that is a Badugi, so f(5) = 514800.

Find \sum f(n) for 4 ≤ n ≤ 13.

--hints--

badugi() should return 862400558448.

assert.strictEqual(badugi(), 862400558448);

--seed--

--seed-contents--

function badugi() {

  return true;
}

badugi();

--solutions--

// solution required