5 ms·

The conclusion does not follow... (the missing condition is that every hand is beatable)

• personjerry 7y ago
  There are 5 possible hands Each hand beats 2 distinct hands With 3 distinct hands you can cover up to 6 distinct hands which is a superset of all possible hands 3 * 2 > 5
  • avip 7y ago
    And yet... A --> D | E B --> D | E C --> D | E D --> C | E E --> D | C QED
    • personjerry 7y ago
      Um, this isn't a general math problem; We're not solving for all possible sets. We're solving this problem in particular: A --> B | C B --> C | D C --> D | E D --> E | A E --> A | B