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Definitions

Permutation and Combination  Assignment / Homework Help
  • Permutation:
  • Each of the different arrangement that can be made out of a given number of things by taking some or all of them at a time is called a permutation.

  • Combination:
  • Each of the different selections (or groups) that can be made out of a given number of things by taking some or all of them at a time is called a combination.

Let a, b, c be three letters. From this clearly, six different arrangements can be made by taking two letters at a time, example: - ab, ba, bc, cb, ca, ac; each of these arrangements is a permutation. Then, three different selections can be formed by taking two letters at a time example: - ab, bc and ca; each of these selections is a combination. Please note that, an order must be considered in forming permutations (i.e., ab and ba denote different permutations); but an order is immaterial in forming combinations (i.e., ab, and ba denote the same combination).

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