Subcategories

• C1

  Permutations with Repeated Objects

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• C2

  Casework Solution, Choose Notation

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  @The-Blade-Dancer It's great that you noticed this! Yes, you can see from the diagram below that for every way there is to choose two spots, it's equivalent to a way that chooses three spots (the three spots that you don't take).   There are \(10\) ways, and both \(\binom{5}{3} \) and \(\binom{5}{2} \) equal \(10.\) This is such a cool concept, and you'll see later on in this course the magical symmetry of Pascal's Triangle that lies beneath this general fact that \( \binom{n}{m} = \binom{n}{n-m}.\)
• C3

  Casework Solution, Choose Notation

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• C4

  Casework Solution, Choose Notation

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  @divinedolphin That's great that you figured it out.
• C5

  Casework Solution, Choose Notation

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• Y1

  Arranging Beads in a Necklace

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• Y2

  Alternative Solution Using Permutations

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