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2016 AMC 10A Problem 14

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2016 AMC 10A Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Diophantine Equations · difficulty 3 of 5 · about 3 min · position P11-15

How many ways are there to write 20162016 as the sum of twos and threes, ignoring order? (For example, 1008⋅2+0⋅31008\cdot 2 + 0\cdot 3 and 402⋅2+404⋅3402\cdot 2 + 404\cdot 3 are two such ways.)

  1. A)

    236236

  2. B)

    336336

  3. C)

    337337

  4. D)

    403403

  5. E)

    672672

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