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    IB Math AAHL
    /
    Counting & Binomials
    /

    Video

    Video Reviews

    Watch comprehensive video reviews for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Counting & Binomials

    Video Reviews

    Watch comprehensive video reviews for Counting & Binomials, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    SL TheoryBinomial ProblemsCounting (HL)

    The video will automatically pause when it reaches a problem.

    Orderings where certain items need to stay together

    AHL AA 1.10

    How many ways can the items B1​,B2​,B3​,B4​,B5​ be ordered under the restriction that B1​ and B2​ must be together.


    To solve questions like these, we treat the items that must stay together as a single unit. We consider that we have 5 items:

    B1​+B2​,B3​,B4​,B5​

    There are 4!=24 ways of ordering these 4 items. However, we need to remember that B1​+B2​ can either be B1​B2​ or B2​B1​. So there are

    24⋅2=48

    possible orderings.

    Orderings where certain items need to stay together

    AHL AA 1.10

    How many ways can the items B1​,B2​,B3​,B4​,B5​ be ordered under the restriction that B1​ and B2​ must be together.


    To solve questions like these, we treat the items that must stay together as a single unit. We consider that we have 5 items:

    B1​+B2​,B3​,B4​,B5​

    There are 4!=24 ways of ordering these 4 items. However, we need to remember that B1​+B2​ can either be B1​B2​ or B2​B1​. So there are

    24⋅2=48

    possible orderings.

    SL TheoryBinomial ProblemsCounting (HL)