How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
Answer for this is $^{10} P_3 $.
What is answer if the repetiton is allowed ?
2026-05-06 06:05:40.1778047540
Probability and combination
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Without repetition as you state, you have, $V_{m,n} = V_{10,3} = \frac{m!}{(m-n)!} = \frac{10!}{7!} = 720$ words.
If repetition is allowed then you have $V_{R}^{m,n} = V^{10,3} = 10^{3} = 1000$ words of 3 letters each.