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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