10
Problems(1)
It’s CG, right? Oh maybe not.
Source: 2023 Thailand Mathematical Olympiad Day 2 P10
5/12/2023
To celebrate the 20th Thailand Mathematical Olympiad (TMO), Ratchasima Witthayalai School put up flags around the Thao Suranari Monument so that[*] Each flag is painted in exactly one color, and at least distinct colors are used.
[*] The number of flags are odd.
[*] Every flags are on a regular polygon such that each vertex has one flag.
[*] Every flags with the same color are on a regular polygon.Prove that there are at least colors with the same amount of flags.
combinatoricsnumber theoryalgebra