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id	challengeType	title
5900f4de1000cf542c50fff0	5	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.

Instructions

Tests

tests:
  - text: <code>euler369()</code> should return 862400558448.
    testString: assert.strictEqual(euler369(), 862400558448, '<code>euler369()</code> should return 862400558448.');

Challenge Seed

function euler369() {
  // Good luck!
  return true;
}

euler369();

Solution

// solution required

1.1 KiB Raw Blame History