In how many ways can 7 people be seated around a circular table, if rotations of the same arrangement are not counted as different?

Answer and explanation

Correct answer: B. 720

  1. Step 1: Fix one person to remove rotations; arrange the other 6 people in ways. Step 2. . Answer: 720. Why not the others: 5040: That counts rotations as different arrangements. 120: That fixes two people instead of one. 1440: That counts reflections as different from each other too.

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