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AIMO 2021 Secondary 2 — Preliminary (Open Trial 1) Question 18

AIMO · AIMO 2021 Secondary 2 — Preliminary (Open Trial 1)

Question 18

An ant moves from $A$, the south pole, to $F$, the north pole, along only the longitudes and latitude shown, including dotted lines, without visiting any point twice (for example $A\to D\to E\to F$). How many routes are possible?

Question illustration