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UKMT Junior Kangaroo, 2024

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

On Abdication Street, there are nine houses in a row. At least one person lives in each house. Any two neighbouring houses have at most six people living in them. What is the largest number of people that could be living in Abdication Street?

(A) $23$ (B) $25$ (C) $27$ (D) $29$ (E) $31$

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