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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?

Correct answer: C. 5040

  • A. 40
  • B. 400
  • C. 5040
  • D. 2520

Explanation

LOGARITHMS contains 10 distinct letters, and four positions can be filled without repetition in 10 x 9 x 8 x 7 = 5040 ways. The likely distractor is 2520, which divides by 2 unnecessarily even though the four positions are ordered.

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