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2002 AMC 10B Problem 16

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2002 AMC 10B Problem 16AMC 10 Step by Step
Name:                             Date: September 13, 2026
Diophantine Equations · difficulty 3 of 5 · about 4 min · position P16-20

For how many integers nn is n20−n\dfrac n{20-n} the square of an integer?

  1. A)

    11

  2. B)

    22

  3. C)

    33

  4. D)

    44

  5. E)

    1010

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