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2006 AMC 10A Problem 20

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2006 AMC 10A Problem 20AMC 10 Step by Step
Name:                             Date: September 13, 2026
Modular Arithmetic · difficulty 3 of 5 · about 2 min · position P16-20

Six distinct positive integers are randomly chosen between 11 and 20062006 , inclusive. What is the probability that some pair of these integers has a difference that is a multiple of 55 ?

  1. A)

    12\frac{1}{2}

  2. B)

    35\frac{3}{5}

  3. C)

    23\frac{2}{3}

  4. D)

    45\frac{4}{5}

  5. E)

    11

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