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IKMC 2027 - Grades 11-12 - Self-study SET 3 - Thematic Batch 3 Question 19

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 3 - Thematic Batch 3

Question 19

Six friends A, B, C, D, E, F sit around a round table and each receives a cake. There are two apple, two strawberry and two chocolate cakes. A has received apple. In how many ways can the other five cakes be distributed so that neighbours never receive the same flavour? Cakes of one flavour are identical.

Question illustration
  1. 24
  2. 120
  3. 12
  4. 8
  5. No distribution satisfies the requirements.