🧮 Mathematics

    Permutations & Combinations Questions

    Practise permutations & combinations for Class 11-12 with timed rounds, instant feedback and difficulty that adapts as you play.

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    Class levels covered

    ∞

    Fresh questions each round

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    Mathematics

    What is permutations & combinations?

    Permutations count arrangements where order matters; combinations count selections where it does not.

    Why it matters

    They are the engine of probability and a favourite source of entrance-exam questions.

    Key concepts you will practise

    • Fundamental counting principle
    • nPr for arrangements
    • nCr for selections
    • Arrangements with repetition and restrictions

    Tips that save marks

    • Ask "does the order change the outcome?" — that single question picks P or C.
    • Handle restrictions first, then arrange the rest freely.

    Question bank by class level

    • Class 11-12 · Senior secondaryGenerated each round

    Start practising Permutations & Combinations

    Frequently asked questions

    When do I use nCr instead of nPr?

    Use nCr when only the group matters, such as picking a committee; use nPr when positions or order matter.

    What is 0! and why?

    0! = 1, defined so that the formulas for permutations and combinations stay consistent.

    More maths topics

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