BCECE Engineering BCECE Engineering Solved Paper-2008

  • question_answer Eight different letters of an alphabet are given Words of four letters from these are formed The number of such words with at least one letter repeated is

    A) \[\left( _{4}^{8} \right)-{{\,}^{8}}{{P}_{4}}\]    

    B)         \[{{8}^{4}}+\left( _{4}^{8} \right)\]  

    C)         \[{{8}^{4}}-{{\,}^{8}}{{P}_{4}}\]         

    D)         \[{{8}^{4}}-\left( _{4}^{8} \right)\]

    Correct Answer: C

    Solution :

    Total number of words formed by 4 letters given from eight different letters with repetition \[={{8}^{4}}\] and number of words with/no repetition \[={{\,}^{8}}P{{ & }_{4}}\] \[\therefore \]Required number of words \[={{8}^{4}}-{{\,}^{8}}{{P}_{4}}\]


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