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Zetta Paper 1 · Q18

Paper 1Algebra

Let SS be the set of all points with coordinates (x,y,z)(x,y,z), where xx, yy, and zz are each chosen from the set {0,1,2}\{0,1,2\}. How many equilateral triangles all have their vertices in SS?

A7272
B8080
C8686
D9494
E9696
F102102

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