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Permutations and Combinations

Mathematics · Chapter 8 · Unit 2: Algebra

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Topics 5

  1. Fundamental principle of counting; factorial notation n! = n(n - 1)!
  2. Permutations nPr (derivation); restricted permutations: items always together or never together; forming numbers from digits
  3. Word building with and without repeated letters; permutations of alike and repeated things; circular permutations
  4. Combinations nCr (derivation) and properties: nCr = nC(n - r), (n+1)Cr = nC(r-1) + nCr; selections of different and of alike things
  5. Mixed problems on permutations and combinations