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MathNet 1997 — Part 01 Question 64

Math Olympiad Vault · MathNet 1997 — Part 01

Question 64

100 delegates are gathered in congress. Not everyone wears a tie, but we know that no matter what you choose, at least one of them wears one. How many congressmen are there with ties?
  1. At least 2, but can be less than 50
  2. Exactly 50
  3. More than 50, but we can't say exactly how many
  4. The situation described is impossible
  5. None of the above