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A permutation is an arrangement of items in a specific order, while a combination is a selection of items without considering their order.
For example, suppose a set of three numbers {1, 2, 3}.
- A permutation of this set would be
{1, 2, 3}, {1, 3, 2}, {2, 1, 3}, {2, 3, 1}, {3, 1, 2}, {3, 2, 1}.
- A combination of this set would be
{1, 2}, {1, 3}, {2, 3}.
In general, permutations involve ordering items, and combinations involve selecting items without a specific order.