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IKMC 2027 - Grades 5-6 - Self-study SET 9 - Thematic Batch 3 Question 8

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 9 - Thematic Batch 3

Question 8

Ant Anne starts at vertex A of the wire pyramid shown. She follows edges and returns to A, using each edge at most once. For example, A→O→I→A and A→U→E→I→A qualify. Reverse routes such as A→O→I→A and A→I→O→A count as different. How many routes are possible?

Question illustration

Original source choices (retained):

A. 8

B. 12

C. 16

D. 24

E. 32

Source consistency task: count routes that stop at their first return to A, then examine what changes if later returns are allowed while every edge is still used at most once. Explain which interpretation gives the printed key D.