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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?

40
400
5040
2520
Explanation:

LOGARITHMS contains 10 different letters.

Required number of words= Number of arrangements of 10 letters, taking 4 at a time.

= 10P4=$\left (10 \times 9 \times 8 \times 7\right)$= 5040.

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