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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.

    Combinations

    AHL AA 1.10

    Combinations are arrangements of items where order does not matter.


    The number of ways of permuting r items from a set of n items is similar to the number of permutations, except that we do not care about the order of the r items. The number of ways to order r items is r!, so the number of combinations is

    nCr​=r!nPr​​=r!(n−r)!n!​

    which is the binomial coefficient "nCr​".

    Example

    How many different committees consisting of 4 members can be made from a class of 12 students?

    12C4​=4!⋅8!12!​=4⋅3⋅2⋅112⋅11⋅10⋅9​=2411880​=495

    Combinations

    AHL AA 1.10

    Combinations are arrangements of items where order does not matter.


    The number of ways of permuting r items from a set of n items is similar to the number of permutations, except that we do not care about the order of the r items. The number of ways to order r items is r!, so the number of combinations is

    nCr​=r!nPr​​=r!(n−r)!n!​

    which is the binomial coefficient "nCr​".

    Example

    How many different committees consisting of 4 members can be made from a class of 12 students?

    12C4​=4!⋅8!12!​=4⋅3⋅2⋅112⋅11⋅10⋅9​=2411880​=495
    SL TheoryBinomial ProblemsCounting (HL)