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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?



10 letters; 4 places;
the required number of combinations is 10*9*8*7=5040;
Hence 5040 words with or without meaning can be obtained
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There are total 10 letters which are to be arranged in 4 places without repetition.
It can be done in 10P4 ways.

10P4 = 10!/(10-4)! = 10! / 6! = 7*8*9*10 = 5040
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