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Factorial notation - Permutations and Combinations

Factorial notation

Lessons

  • 2.
    factorial notation: n! = n (n-1) (n-2) (n-3) (n-4) . . . . . (5) (4) (3) (2) (1)
    by definition : 0! = 1
    • a)
      DOG
    • b)
      MATH
    • c)
      COMPUTER
  • 4.
    arrangement of words "with repititions" = n!(1strepetition)!(2ndrepetition)!(3rdrepetition)!..\frac{{n!}}{{\left( {{1^{st}}\;repetition} \right)!\;\;\;\left( {{2^{nd}}\;repetition} \right)!\;\;\;\left( {{3^{rd}}\;repetition} \right)!\; \ldots ..}}
    Determine the number of different arrangements of all the letters in the following words:
  • 5.
    arrangement with restrictions: must deal with the restrictions first!
  • 6.
    seating arrangement
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Factorial notation

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