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2004 AMC 10A Problem 2

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2004 AMC 10A Problem 2AMC 10 Step by Step
Name:                             Date: September 13, 2026
Functions · difficulty 1 of 5 · about 2 min · position P1-10

For any three real numbers aa , bb , and cc , with b≠cb\neq c , the operation ⊗\otimes is defined by: ⊗(a,b,c)=ab−c\otimes(a,b,c)=\frac{a}{b-c} What is ⊗(⊗(1,2,3),⊗(2,3,1),⊗(3,1,2))\otimes(\otimes(1,2,3),\otimes(2,3,1),\otimes(3,1,2)) ?

  1. A)

    −12-\frac{1}{2}

  2. B)

    −14-\frac{1}{4}

  3. C)

    00

  4. D)

    14\frac{1}{4}

  5. E)

    12\frac{1}{2}

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