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Problem 47

Combinatorics Difficulty 1.0 Find the answer UKMT Grey Kangaroo · United Kingdom · 2026

Eva is looking at four seats in a row, numbered 1 to 4 from left to right, which are occupied by Andi, Budi, Citra and Dira, but not in that order. The following statements are true: Andi is not in seat 1; Budi is seated directly to the right of Andi; Dira is not at either end. In what order, from left to right, do they sit?

(A) Budi, Dira, Andi, Citra (B) Citra, Andi, Dira, Budi (C) Citra, Dira, Andi, Budi (D) Citra, Dira, Budi, Andi (E) Dira, Citra, Budi, Andi

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