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Permutation and Combination

Q1: 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?

A 40

B 400

C 5040

D 2520

ANS:C - 5040

'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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