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

  • question_answer
    How many numbers lying between 500 and 600 can be formed with the help of the digits 1, 2, 3, 4, 5, 6 when the digits are not to be repeated

    A) 20

    B) 40

    C) 60

    D) 80

    Correct Answer: A

    Solution :

    There must be 5 at hundred place, now 2 numbers to be chosen from 5 numbers \[i.e.\], \[^{5}{{P}_{2}}=5\times 4=20\].

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