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Step 1: Solve \( n^3 \equiv 1 \pmod8 \) - AMAZONAWS
Step 1: Solve \( n^3 \equiv 1 \pmod8 \) - AMAZONAWS
📅 March 6, 2026
👤 scraface
Mar 06, 2026
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📌 #### 8Question: Given three vertices of a cube at \((1, 2, 3)\), \((1, 5, 3)\), and \((4, 2, 3)\), find the coordinates of the fourth vertex that is diagonally opposite to \((1, 2, 3)\) on the same face, assuming all coordinates are integers.
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📌 Solution: We are given 5 distinct parts: A, B, C, D, and E, and we are to count the number of permutations where A appears before B and C appears before D.