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AMO 2027 Grades 9-11 SET 2 - Self-study Question 5

AMO · AMO 2027 Grades 9-11 SET 2 - Self-study

Question 5

How many unique necklaces can be made with 7 equally spaced beads of 7 different colours, using each colour once? As in the source method, necklaces that differ only by rotation or by turning the necklace over are considered the same.

Question illustration

Choose one option.
  1. 5040
  2. 720
  3. 2520
  4. 360
  5. 840