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2022 AMC 10B Problem 14

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2022 AMC 10B Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Number Properties · difficulty 3 of 5 · about 4 min · position P11-15

Suppose that SS is a subset of {1,2,3,…,25}\left\{ 1, 2, 3, \ldots , 25 \right\} such that the sum of any two (not necessarily distinct) elements of SS is never an element of S.S. What is the maximum number of elements SS may contain?

  1. A)

    1212

  2. B)

    1313

  3. C)

    1414

  4. D)

    1515

  5. E)

    1616

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