19th Eötvös Competition Problems 1912
1. How many n-digit decimal integers have all digits 1, 2 or 3. How many also contain each of 1, 2, 3 at least once? 2. Prove that 5n + 2 3n-1 + 1 = 0 (mod 8). 3. ABCD is a quadrilateral with vertices in
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