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AMC 12 2018a Problem 13

  • Paper

How many nonnegative integers can be written in the form a7⋅37+a6⋅36+a5⋅35+a4⋅34+a3⋅33+a2⋅32+a1⋅31+a0⋅30,a_7\cdot3^7+a_6\cdot3^6+a_5\cdot3^5+a_4\cdot3^4+a_3\cdot3^3+a_2\cdot3^2+a_1\cdot3^1+a_0\cdot3^0, where ai∈{−1,0,1}a_i\in \{-1,0,1\} for 0≤i≤70\le i \le 7?

(A) 512(B) 729(C) 1094(D) 3281(E) 59,048\textbf{(A) } 512 \textbf{(B) } 729 \textbf{(C) } 1094 \textbf{(D) } 3281 \textbf{(E) } 59,048

Dataset text AMC 12 2000 to 2025. Quoted with source.

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D

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