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JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of permutation, Number of permutations with or without repetition, Conditional permutations

  • question_answer
    Four dice (six faced) are rolled. The number of possible outcomes in which at least one die shows 2 is

    A) 1296

    B) 625

    C) 671

    D) None of these

    Correct Answer: C

    Solution :

    The number of possible outcomes with 2 on at least one die = (The total number of outcomes) - (The number of outcomes in which 2 does not appear on any die)\[{{6}^{4}}-{{5}^{4}}=1296-625=671\].


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