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How many words (with or without meaning) of three distinct letters of the English alphabet are there? |
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Answer» Clearly, we have to fill up distinct letters of the English alphabet. The first place can be filled by any of the 26 letters. Thus, there are 26 ways to fill the first place. The second place can be filled by any of the remaining 25 letters. So, there are 25 ways to fill the second place. The third place can be filled by any of the remaining 24 letters. Thus, there are 24 ways to fill the third place. Hence, by the fundamental principle of multiplication, the required number of words `=(26 xx 25 xx 24) =15600.` |
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