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

E. None of these

Answer: Option C

Solution(By Examveda Team)

'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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