Question
How many different 3-letter words can be formed using
the letters from the word "HATE2023"?Solution
The word "HATE2023" has a total of 8 letters. To form a 3-letter word, we need to select 3 letters from these 8 letters. This is a combination problem. Number of combinations = nCr = n! / (r! * (n - r)!) Number of combinations = 8! / (3! * (8 - 3)!) Number of combinations = (8 * 7 * 6) / (3 * 2 * 1) Number of combinations = 56 So, there are 56 different 3-letter words that can be formed using the letters from "HATE2023".
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