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? Choose the correct choice from the following choices:
A) 40 B) 400 C) 5040 D) 2520 E) None of these
Solution   'LOGARITHM' contain 10 different letters.   Required number of words = Number of Arrangement of 10 letters, taking 4 at a time   = 10 P 4 = (10 × 9 × 7) = 5040 . Answer 5040
<result>C</result>
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?