Maths Olympiad Prep

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, 2026

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

There are three different routes from Exe to Wye. There are five different routes from Wye to Zed. Ahmed travels from Exe to Zed via Wye. He wants to travel back from Zed to Exe via Wye using a route that is not completely the same as the route he used from Exe to Zed. How many different routes could he use for his return trip?

(A) 55 (B) 66 (C) 1010 (D) 1212 (E) 1414

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