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UKMT Senior Kangaroo, 2024

Combinatorics Difficulty 2.0 Junior Prove it United Kingdom

Four friends named Ada, Brin, Chris and Debbie are each carrying a different amount of money. These amounts are £111, £222, £333 and £444.

Ada says: I am neither carrying the most nor the least.

Brin says: I am not carrying the least.

Chris says: I am carrying the most.

Debbie says: I am carrying the least.

Exactly one of the friends is lying. How many letters does the lying friend have in her/his name?

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