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Combination, Permutation, or Counting Principle

  •  English    9     Public
    Determine if a scenario is Combination, Permutation, or Counting Principle, and then state the formula
  •   Study   Slideshow
  • The number of ways Lego bricks can be stacked given one yellow, one blue, one red, and one green
    Counting, 4 ∙ 3 ∙ 2 ∙ 1 = 24 (Permutation also acceptable)
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  • How many ways can be a burger be made given 3 bun options, 2 meat, and 5 condiments?
    Counting Principle, 3 ∙ 2 ∙ 5 = 30
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  • How many ways can the letters HAWT be arranged?
    Counting Princple, 4 ∙ 3 ∙ 2 ∙ 1 = 24 (Permutation also acceptable)
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  • A teacher needs to select 3 students from their class of 25 carry items to the main office.
    Combination, ₂₅C₃ = 2300
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  • Only 6 cheerleaders out of 20 are allowed to cheer at the basketball game.
    Combination, ₂₀C₆ = 38760
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  • Only the top 5 runners out of 30 get to advance to finals.
    Combination, ₃₀C₅ = 142506
  •  15
  • How many ways can a phone with 10 digits be set with a 4 digit code?
    Permutation, ₁₀P₄ = 5040
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  • How many ways can a Captain and Co-Captain be determined from a team of 8?
    Permutation, ₈P₂ = 56
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  • Seven athletes are competing for Gold, Silver and Bronze.
    Permutation, ₇P₃ = 210
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