If each vowel in the word ‘FORT’ is changed to the previous letter of the English alphabet and the consonants are changed to the next letter of the English alphabet, then, how many three-letter meaningful word/words can be formed using the letters of the new word thus formed, using each letter only once?
Question
If each vowel in the word ‘FORT’ is changed to the previous letter of the English alphabet and the consonants are changed to the next letter of the English alphabet, then, how many three-letter meaningful word/words can be formed using the letters of the new word thus formed, using each letter only once?
Solution
Sure, let's break it down:
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First, we need to change each vowel in the word 'FORT' to the previous letter of the English alphabet and the consonants to the next letter of the English alphabet. The word 'FORT' has one vowel 'O' which will be changed to 'N' (the previous letter) and three consonants 'F', 'R', 'T' which will be changed to 'G', 'S', 'U' respectively (the next letters). So, the new word formed is 'GNSU'.
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Now, we need to find out how many three-letter meaningful words can be formed using the letters of the new word 'GNSU', using each letter only once.
Here are the meaningful three-letter words that can be formed: 'SUN', 'GUN', 'GUS', 'NUS', 'SUG', 'GUN'.
So, there are 6 three-letter meaningful words that can be formed using the letters of the new word 'GNSU', using each letter only once.
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