Problem #PRU-65715

Problems Methods Pigeonhole principle Pigeonhole principle (other)

Problem

A mix of boys and girls are standing in a circle. There are 20 children in total. It is known that each boys’ neighbour in the clockwise direction is a child wearing a blue T-shirt, and that each girls’ neighbour in the anticlockwise direction is a child wearing a red T-shirt. Is it possible to uniquely determine how many boys there are in the circle?