Understanding Permutations in Discrete Mathematics
Dive into the world of permutations in discrete mathematics, where ordered arrangements and rearrangements of distinct objects are explored. Learn about r-permutations, multiplicative principles, and the fundamental concepts behind permutations. Discover the beauty of arranging objects in various orders and the mathematical principles governing these arrangements.
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Discrete Math: Permutations
Permutation A permutation of a set of distinct objects is an ordered arrangement of these objects. An ordered arrangement of r elements of a set is called an r- permutation. A permutation is a (possible) rearrangement of objects. For example, there are 6 permutations of the letters a, b, c: abc, acb, bac, bca, cab, cba. We know that we have them all listed above there are 3 choices for which letter we put first, then 2 choices for which letter comes next, which leaves only 1 choice for the last letter. The multiplicative principle says we multiply 3 2 1.
References Discrete Mathematics and Its Applications, McGraw-Hill; 7th edition (June 26, 2006). Kenneth Rosen Discrete Mathematics An Open Introduction, 2nd edition. Oscar Levin A Short Course in Discrete Mathematics, 01 Dec 2004, Edward Bender & S. Gill Williamson
