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Discussion :: Permutation and Combination

  1.  

    How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
    2. A.

    40
    B.

    400
    C.

    5040
    D.

    2520

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    Answer : Option C

    Explanation :

    'LOGARITHMS' contains 10 different letters.

    Required number of words = Number of arrangements of 10 letters, taking 4 at a time.
      = 10P4
      = (10 x 9 x 8 x 7)
      = 5040.

     

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