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Permutations and Combinations
Applied Mathematics · Chapter 9 · Unit 2: Algebra
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Topics 6
- Factorial notation; fundamental principle of counting
- Permutations nPr: derivation of the formula; restricted permutations (things always together or never occurring)
- Forming numbers with digits; word building with and without repeated letters; permutations of alike things
- Circular permutations: clockwise and anticlockwise distinguishable or not
- Combinations nCr: properties nCr = nC(n-r), nCx = nCy, nCr-1 + nCr = n+1Cr
- Selections of any number of things (all different or not all different); division and distribution into groups; mixed problems