JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Mock Test - Permutations and Combinations

  • question_answer
    How many numbers can be made with the digits 3, 4, 5, 6, 7, 8 lying between 3000 and 4000, which are divisible by 5 while repetition of any digit not allowed in any number?

    A) 60                    

    B) 12

    C) 120                 

    D) 24

    Correct Answer: B

    Solution :

    [b] 3 must be at thousand's place and since the number should be divisible by 5, or 5 must be at unit's place. Now we have to fill two places (tens and hundreds), i.e.,  \[^{4}{{P}_{2}}=12\].

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