![]() ![]() How many possible different arrangements are there for these four boxes, when ALL of them will be arranged side by side in different ways? Well, the answer is very simple, is just 4!įigure 2: Four boxes to be arranged side by side, and the result of all the possible arrangements Imagine we have four boxes (A, B, C and D) and we will arrange them side by side.įigure 1: Four boxes to be arranged side by side The permutation formula will be explained in the next section, for now, let us review how to obtain permutations in both of the cases mentioned just by following the logic of factorials and the counting principle. When only certain items from the set are used while making the arrangements, the calculation of the total possible ways is calculated by a particular division of factorials. ![]() When all of the objects from the set are used in the arrangements, permutations produce the total quantity of arrangements by multiplying the possible items per each possible position producing a factorial product. ![]()
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