Correct : 63

Explanation:
1. Total Number of Players: There are 64 players participating in the tournament.
2. Tournament Rule: It is a single-elimination (knock-out) tournament, meaning a player is immediately eliminated after losing a single game.
3. Determining the Winner: To find a single winner, all other players must be eliminated. Therefore, the number of players to be eliminated is: 64 - 1 = 63 players.
4. Game-to-Elimination Ratio: Since each game results in exactly one loser and no ties are possible, 1 game = 1 elimination.
5. Conclusion: To eliminate 63 players, exactly 63 games must be played in total.

Alternative Round-by-Round Breakdown:
• Round 1: 64 players pair up into 32 games (32 winners, 32 eliminated)
• Round 2: 32 players pair up into 16 games (16 winners, 16 eliminated)
• Round 3: 16 players pair up into 8 games (8 winners, 8 eliminated)
• Round 4: 8 players pair up into 4 games (4 winners, 4 eliminated)
• Round 5: 4 players pair up into 2 games (2 winners, 2 eliminated)
• Round 6 (Finals): 2 players play 1 game (1 winner, 1 eliminated)
• Total games = 32 + 16 + 8 + 4 + 2 + 1 = 63 games.