Take Five

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TAKE FIVE


When two colours are used there are two combinations: AB, BA


For three colours there are six combinations:

ABC, ACB, BAC, BCA, CAB, CBA


Four colours combine in 24 ways:

ABCD, ABDC, ACBD, ACDB, ADBC, ADCB

BACD, BADC, BCAD, BCDA, BDAC, BDCA

CABD, CADB, CBAD, CBDA, CDAB, CDBA

DABC, DACB, DBAC, DBCA, DCAB, DCBA


Five colours are combined in the 120 ways - as shown in this afghan.

Mathematically, Take Five is closely related to Have It All Ways.


It 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


If six colours were used there would be


6 x 5 x 4 x 3 x 2 x 1 = 720

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 we 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.


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Take Five

RELATED DESIGNS


PERMUTATION AFGHANS

Windows 100

Have It All Ways


PERMUTATION CUSHIONS

Have It All Ways

Double Vision

CONSTRUCTION INFORMATION


Knitted in ten strips which are stitched together.

KNITTING INFORMATION


Use any yarn, in five colours, and needles of your choice. The colours must be noticeably different.


The overall size of the afghan will vary according to the yarn chosen.