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?

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400

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5040

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2520

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Solution

The correct option is C 5040
'LOGARITHMS' contains 10 different letters.
Required number of words = Number of arrangements of 10 letters, taking 4 at a time.
$=^{10} P_{4}$
$= (10 \times 9 \times 8 \times 7)$
$= 5040.$

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