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Statistics - nCr and nPr

Liv Coote Maths A-Level English 7 cards

Cards in this deck (7)

  1. 1nCrFormula:
    n! / r!(n-r)
  2. 2Example7C2 = 7! / 2! 5!
  3. 3nPrFormula;
    n! / (n-r)!
  4. 4Example5P3 = 5! / 2!
  5. 5NotesFor nCr, order is not important whereas with nPr order is important.
  6. 6QuestionIn a group of 30 pupils, 20 are girls and 10 are boys. From these 30 pupils, 5 are chosen at random.
    (i) How many ways can this be done?
    (ii) Find the probability there are exactly 3 girls chosen
  7. 7Answers(i) 30C5 = 142506
    (ii) 20C3 x 10C2 = 51300
    Probability = 51300 / 142506
    = 0.3

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A-Level Maths (S1) Flashcards on Statistics - nCr and nPr, created by Liv Coote on 24/03/2016.
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Liv Coote
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