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Railway Exams

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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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lalit kashyap
lalit kashyap
Dec 21, 2025

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

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