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IKMC 2027 - Grades 9-10 - Self-study SET 6 - Thematic Batch 3 Question 6

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 6 - Thematic Batch 3

Question 6

Maria must cross a stream using eight stepping stones. Each jump moves forward by one or two stones. She never goes backwards and does not land on the sixth stone, where a turtle is sitting. How many different jump sequences can she use to cross?

Editorial clarification: the worked solution uses banks at positions 0 and 9 and stones at 1–8, with jumps of one or two positions.

Question illustration
  1. 6
  2. 8
  3. 10
  4. 16
  5. 20