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

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+---
+id: 5900f4de1000cf542c50fff0
+title: 'Problem 369: Badugi'
+challengeType: 5
+forumTopicId: 302030
+dashedName: 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 2598960 ways to choose five cards from a standard 52 card deck, of which 514800 contain a 4 card subset that is a Badugi, so f(5) = 514800.
+
+Find ∑f(n) for 4 ≤ n ≤ 13.
+
+# --hints--
+
+`euler369()` should return 862400558448.
+
+```js
+assert.strictEqual(euler369(), 862400558448);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler369() {
+
+  return true;
+}
+
+euler369();
+```
+
+# --solutions--
+
+```js
+// solution required
+```