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9th Class Mathematics Permutations and Combinations Question Bank Permutation & Combination

  • question_answer
    How many numbers of 5 digits can be formed with the digits 0,2,3,4 and 5 if the digits may repeat?

    A) 2500       

    B)        250

    C) 120                            

    D) 2400

    E) None of these

    Correct Answer: A

    Solution :

    Explanation Option [a] is correct. Ten thousands place can assume only non-zero digits hence ten thousands place can be filled up in 4 ways and thousands place can be filled up in 5 ways since repetition is allowed (and 0 can be filled up in this place). Similarly hundreds, tens and unit places can be filled up in 5 ways each. \[\therefore \] The required number of numbers \[=4\times 5\times 5\times 5\times 5=2500\]          


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