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'Colour Building' printed from https://nrich.maths.org/
Is there a way to work systematically to make sure you have found all the possibilities?
When we make the length of the pink rod, how many possibilities have a red on the left?
How many possibilities have a white on the left?
Can you use this idea of thinking separately about the solutions that begin with a red, and the ones that begin with a white, to help you explain the patterns that you find?