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Mathematically, Take Five is closely related to Have It All Ways. This is all the possible permutations of five colours.

The number of combinations for four colours is 4 x 3 x 2 x 1 = 24.

For five colours the number of combinations is 5 x 4 x 3 x 2 x 1 = 120.

It is essential to use a logical plan to make sure none of the combinations are missed. There is more than one way of doing this. The method that was used can be seen by looking at the squares across the bottom, starting at the left-hand corner. A sequence was chosen for the first square and in the next four squares that sequence was kept the same but ‘rolled round’ so that the top stripe goes off the top and comes back on at the bottom. The ‘rolling round’ is complete on the fifth square. For the sixth square the order of the top three colours was kept the same, the other two colours were swapped over. This sequence was then ‘rolled round’ for the other four squares. A similar system was used for all the other rows. The colours of the rolling stripes can be seen as sloping gently up to the right.

Take Five was worked in strips, in a similar way to Counting Pane or Bunch of Fives.

TAKE FIVE