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each of the consonants in the word TIED is changed to the next letter of the English alphabet and each of the vowels is changed to the previous letter in the English alphabet.how many meaningful English words can be made with the new set of letters using letter only once in each word?
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each of the consonants in the word TIED is changed to the next letter ...
Problem: Meaningful English words with transformed letters


Explanation


In this problem, we are given a word "TIED". We have to transform its letters according to the given rules and make meaningful English words with the new set of letters, using each letter only once in each word.


Transformation Rules


Each consonant in the word "TIED" is changed to the next letter of the English alphabet, and each vowel is changed to the previous letter in the English alphabet.


Solution Approach


To solve this problem, we can follow the below approach:


  1. Transform the letters of the given word according to the rules.

  2. Find all the permutations of the transformed letters.

  3. Check if each permutation forms a meaningful English word or not.

  4. Count all the meaningful English words.



Transformed Letters


Using the given rules, we can transform the letters of the word "TIED" as follows:


  • T → U

  • I → H

  • E → D

  • D → E



So, the transformed word is "UHDE".


Permutations of Transformed Letters


Now, we can find all the permutations of the transformed letters "UHDE". There are 4 letters, so there are 4! = 24 permutations possible. They are:


  1. UHDE

  2. UHED

  3. UDHE

  4. UDEH

  5. UEHD

  6. UEDH

  7. HUDE

  8. HUED

  9. HDUE

  10. HDEU

  11. HEUD

  12. HEDU

  13. DUHE

  14. DUEH

  15. DHUE

  16. DHEU

  17. DEUH

  18. DEHU

  19. EUHD

  20. EUDH

  21. EHUD

  22. EHDU

  23. EDUH

  24. EDHU



Meaningful English Words


Out of the 24 permutations, we need to find the ones that form meaningful English words. We can use a dictionary to check if each permutation is a valid English word or not. After checking, we get the following list of 5 English words:


  • DUDE

  • DEED

  • HEED

  • DEED

  • DUE



Result


Therefore, there are 5 meaningful English words that can be made with the new set of letters using each letter only once in each word.
Community Answer
each of the consonants in the word TIED is changed to the next letter ...
No word can be formed as we are getting U H D E
And on arrangement also no meaningful word can be formed..
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