An interactive web app that demonstrates combinations and permutations and the difference between them.
Combinations and Permutations are made of unique items in a set. Click 'Remove Item' or 'Add Item' to make the set bigger or smaller. These items will be picked and arranged in the Permutations and Combinations below.
A mathematical permutation is the number of different ways the items from a set (above) can be arranged. In permutations, we count all the uniquely arranged items toward the final permutation number. For example, the arrangement 123 is counted separately from 321 and is therefore counted as 2 separate permutations.
From the set of items we created above, there are {{permutations_count}} permutations for {{item_count}} items, given {{slot_count}} slots..
A mathematical combination is basically the number of groups of arranged items. For example, an arrangement of 1234 is the same as 4321 and therefore is counted as 1 single combination.
From the set of items we created above, there are {{combinations_count}} combinations for {{item_count}} items, given {{slot_count}} slots.