Three by Three

Arrange 3 red, 3 blue and 3 yellow counters into a three-by-three square grid, so that there is only one of each colour in every row and every column
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem

 

Arrange three red, three blue and three yellow counters into a three-by-three square grid, so that there is only one of each colour in every row and every column.

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Three by Three

Can you arrange four different colour counters into a four-by-four square grid, so that there is only one of each colour in every row and every column?

How about five colours in a five-by-five grid? Six...?

Printable NRICH Roadshow resource.