JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Self Evaluation Test - Permutations and Combinatioins

  • question_answer
    In how many ways vertices of a square can be coloured with 4 distinct colour if rotations are considered to be equivalent, but reflections are distinct?

    A) 65

    B) 70

    C) 71

    D) None of these

    Correct Answer: B

    Solution :

    [b] Here in this case condition is similar to formation of necklace i.e., \[(n,k)=\frac{1}{n}\sum\limits_{i=1}^{n}{{{k}^{god(n,i)}}}\] We can use this formula or from the table (you shouldn?t memorize it) required number of ways is 70.


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