1. Permutation: A permutation is an arrangement of objects in a specific order. It is concerned with the number of ways you can arrange a set of items. The formula for finding permutations is typically denoted as "n P r" and is calculated as n! / (n - r)!, where "n" is the total number of items, "r" is the number of items to be arranged, and "!" denotes factorial (the product of all positive integers up to a given number).
2. Combination: A combination is a selection of objects without regard to the order. It focuses on choosing a subset of items from a larger set. The formula for finding combinations is denoted as "n C r" and is calculated as n! / (r! * (n - r)!), where "n" is the total number of items, and "r" is the number of items to be selected.
Permutations are used when order matters, such as arranging people in a line, while combinations are used when order does not matter, such as selecting a committee from a group of individuals. These concepts are widely used in various fields like mathematics, statistics, and probability.
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