Question 8
In a $5\times5$ board, each cell is to be painted with one of many colours.
What is the minimum number of distinct colours needed so that no matter how an L-shaped tile (shown below) is placed on the $5\times5$ board along its grid lines, it will always cover $5$ cells of distinct colours? (Note: You must provide a colouring that satisfies your answer, and prove that using fewer colours is impossible.)
Answer: colours,
What is the minimum number of distinct colours needed so that no matter how an L-shaped tile (shown below) is placed on the $5\times5$ board along its grid lines, it will always cover $5$ cells of distinct colours? (Note: You must provide a colouring that satisfies your answer, and prove that using fewer colours is impossible.)
Answer: colours,