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2003 AMC 10B Problem 15

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2003 AMC 10B Problem 15AMC 10 Step by Step
Name:                             Date: September 13, 2026
Games & Processes · difficulty 2 of 5 · about 2 min · position P11-15

There are 100100 players in a single tennis tournament. The tournament is single elimination, meaning that a player who loses a match is eliminated. In the first round, the strongest 2828 players are given a bye, and the remaining 7272 players are paired off to play. After each round, the remaining players play in the next round. The match continues until only one player remains unbeaten. The total number of matches played is

$\qquad

  1. A)

    a prime number\text{a prime number}

  2. B)

    divisible by 2\text{divisible by 2}

  3. C)

    divisible by 5\text{divisible by 5}

  4. D)

    divisible by 7\text{divisible by 7}

  5. E)

    divisible by 11\text{divisible by 11}

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