eplain ...... permutation...... with full eplaination
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In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.
Explanation:
Formula
_{n} P_{r}=\frac{n !}{(n-r) !}
_{n} P_{r} = permutation
n = total number of objects
r = number of objects selected
A permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement. For example, suppose we have a set of three letters: A, B, and C. ... The permutation was formed from 3 letters (A, B, and C), so n = 3; and the permutation consisted of 2 letters, so r = 2.
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In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.
n = total items in the set; r = items taken for the permutation; "!" denotes factorial. The generalized expression of the formula is, "How many ways can you arrange 'r' from a set of 'n' if the order matters?" A permutation can be calculated by hand as well, where all the possible permutations are written out.
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