| Permutations and combinations are two different ways of arranging objects. If a person removes two balls, one at a time, from a billiard pocket containing three balls, then there are six possible permutations. The order of arrangement is important in determining the number of permutations; choosing a red ball then a blue ball is a different permutation than choosing a blue ball then a red ball. When determining the number of possible combinations, however, ordering is not important; choosing a red ball then a blue ball results in the same combination as choosing a blue ball then a red one. As a result, there are only three possible combinations. |
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