Notes
Slide Show
Outline
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CLAST
Statistics and Probability
 Fundamental Counting Principle
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Overview
  • The Fundamental
  •      Counting Principle . . . . Link
  • Permutations . . . . . . . . . Link
  • Combinations  . . . . . . . . Link
  • Formulae . . . . . . . . . . . . Link
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the Fundamental Counting Principle
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Fundamental Counting Example 1
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Fundamental Counting Example 2
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Permutations
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Explaining Permutation
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Permutations with Like Items
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Explaining
Permutations with Like Items
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Permutation Formula
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CHALLENGE
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SOLUTION to the CHALLENGE
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Combinations
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Explaining Combinations
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Formulae
  • Factorial
  • Mathematicians have an abbreviated form for writing successive multiplication like (11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1).
  •      They write 11! (read “eleven factorial”).
  •      SPECIAL: 0! = 1
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Formulae for Permutations
and Combinations
  • Permutations
  • P(n, r) =


  • Combinations
  • C(n, r) =