In the NCAA basketball tournament, 64 teams compete in 63 games during six rounds of single elimination

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In the NCAA basketball tournament, 64 teams compete in 63 games during six rounds of single elimination bracket competition. During the “Sweet Sixteen” competition (the third round of the tournament), 16 teams compete in eight games. If you were to choose in advance of the tournament the 8 teams that would win in the “Sweet Sixteen” competition and thus play in the fourth round of competition, how many different possibilities would you have?

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