Tuesday, November 16, 2010
3rd Australian Mathematical Olympiad Problems 1982
A1. If you toss a fair coin n+1 times and I toss it n times, what is the probability that you get more heads? A2. Show that the fractional part of (2 + √3)n tends to 1. A3. In the triangle ABC, let the angle bisectors of A, B, C meet the circumcircle again at X, Y, Z. Show that AX + BY + CZ is greater than the perimeter of ABC. B1. For what d
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