Question 95
There are $50$ tokens numbered $1$ to $50$, to be coloured red or blue. Token $5$ is blue. The remaining colouring obeys:
a) If tokens $x,y$ differ in colour, token $|x-y|$ is red.
b) If tokens $x,y$ differ in colour and $xy$ is between $1$ and $50$ inclusive, token $xy$ is blue.
Determine the number of possible colourings.
a) If tokens $x,y$ differ in colour, token $|x-y|$ is red.
b) If tokens $x,y$ differ in colour and $xy$ is between $1$ and $50$ inclusive, token $xy$ is blue.
Determine the number of possible colourings.