[Video] The vertices of a regular dodecagon (a polygon with 12 sides) are coloured either blue or red. Let N be the number of all possible colourings such that no three points of the same colour form the vertices of an equilateral triangle, and no four points of the same colour form the vertices of a square. If N can be written as N=100p+q where p,q are two positive integers less than 100, find p+q. - - IOQM Previous Papers Sept 28 2025 - IOQM Previous Papers sept 28 2025 Section C

Name: The vertices of a regular dodecagon (a polygon with 12 sides) are coloured either blue or red. Let N be the number of all possible colourings such that no three points of the same colour form the vertices of an equilateral triangle, and no four points of the same colour form the vertices of a square. If N can be written as N=100p+q where p,q are two positive integers less than 100, find p+q.
Uploaded: 2026-07-09T09:29:44.934405+05:30
Duration: 9 min 11 s
Description: The vertices of a regular dodecagon (a polygon with 12 sides) are coloured either blue or red. Let N be the number of all possible colourings such that no three points of the same colour form the vertices of an equilateral triangle, and no four points of the same colour form the vertices of a square. If N can be written as N=100p+q where p,q are two positive integers less than 100, find p+q.