TR-MO-R1 2016 Problem 12

İki basamaklı sayılardan oluşan her $\{a_1, a_2, \dots, a_n\}$ kümesinin herhangi ikisinin her iki basamağı birbirinden farklı olan 5 elemanı bulunuyorsa, $n$ en az kaç olabilir?

a) $38$ b) $41$ c) $45$ d) $51$ e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2016 official paper, page 5. Quoted with source.

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