Find the number of ways to arrange words, Mathematics

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Q. Find the number of ways three letter "words" can be chosen from the alphabet if none of the letters can be repeated?

Solution: There are 26 ways of choosing the first letter, 25 ways of choosing the second letter, and 24 ways of choosing the third letter; thus there are 26.25.24 = 15,600 ways of choosing the three letters. Using the formula of permutations, we have 26P3 = 26.25.24 = 15,600


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