Railway question with answer
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)4050
(B)3600
(C)1200
(D)5040
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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?
(A)4050
(B)3600
(C)1200
(D)5040
Correct Answer: (D) 5040 ✅
Short Explanation:
The word LOGARITHMS has 10 distinct letters.
Number of 4-letter arrangements without repetition = ( ^{10}P_4 = 10 \times 9 \times 8 \times 7 = 5040 )
✅ Answer: 5040