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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
    The number of 3 digit odd numbers, that can be formed by using the digits 1, 2, 3, 4, 5, 6 when the repetition is allowed, is [Pb. CET 1999]

    A) 60

    B) 108

    C) 36

    D) 30

    Correct Answer: B

    Solution :

    Extreme left place can be filled in 6 ways, the middle place can be filled in 6 ways and extreme right place in only 3 ways. (\[\because \] number to be formed is odd) \Required number of numbers = 6 × 6 × 3 = 108. 


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