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Question

How many 3-letter words with or without meaning, can be formed out of the letters of the word $$LOGARITHMS$$ if repitition of letters is not allowed ?


A
720
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B
420
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C
5040
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D
none of these
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Solution

The correct option is B $$720$$
The word $$LOGARITHMS$$ has 10 different letters.
Hence, the number of 3-letter words (with or without meaning) formed by using these letters = $$10_{P_3}=10 \times 9 \times 8 = 720$$.

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