“3X2X1” Composition of 6 paintings
Acrylic paint on wood, signed and framed
40 x 40 cm.
Pyssla composition signed and framed.
Permutations is all the possible outcomes of a given value. For example, if you were given three colors (red (r), blue (b), and yellow (y)) and were asked to find possible arrangements of them, you would find 6 possible arrangements: rby, ryb, byr, bry, yrb, ybr.
In a permutation, the order of the objects in the group is important. Using the same example above, we are given three different colors (red (r), blue(b), and yellow (y)). If we were just given red (r), then there would be only one way to arrange it: red. However, when blue (b) is thrown in the mix, there are now two ways to arrange these two colors: rb or br. And now, when a third color is thrown in (yellow (y)), then there are now six possible outcomes, as stated above. The amount of permutations of the 3 colors is equal to 3 x 2 x 1, which equals 6. This is also equal to the factorial of 3:
3! = 3 x 2 x 1 = 6
The general formula for a permutation of n items is:
n x (n – 1) x (n – 2) x (n – 3) x … x 1
This is also called the n factorial, and is written like this: