Puzzle

[Dang Hung Thang <thang@mathematik.uni-Bremen.de>]

Mo+`i ca'c ba'c tham gia mu.c Gia?i tri' Toa'n ho.c
         The Politician Puzzle
A certain convention numbered 100 politicians. Each politician was
  either crooked or honest. We are given the following two facts:
i) At least one of the politicians was honest.
ii) Given any two of the politicians, at least one of the two was
         crooked.
Determine how many of the politicians were honest.
Ladies and non-math. students are encouraged to send solutions.
Cheers
Thang.