Arranging Letters of 'Daughter' with Specific Conditions

AI Thread Summary
The discussion focuses on arranging the letters of the word "daughter" under specific conditions: ensuring no two vowels are adjacent and maintaining the original order of consonants and vowels. The initial calculation for total arrangements is 8!, but the user encounters issues when trying to account for arrangements where at least two vowels are together, using 7!*(3P2). There is confusion regarding the interpretation of the problem and the calculations involved, leading to frustration over a lack of responses. The user expresses a desire for clarification and assistance in resolving the discrepancies in their solution. The thread highlights the challenges of combinatorial arrangements with constraints.
ritwik06
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Homework Statement



Arrange the letters of the word daughter such that
1. no two vowels are together.
2. the relative positions of the consonants and the vowels are not changed.





The Attempt at a Solution


1. Total arrangements =8!
Ways in which at least 2 vowels occur togther=7!*(3P2)
I subtract them, but my answer i different.
2. What does this statement mean?
 
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Have I missed out something guys? Why isn't anybody paying any heed to ma question?
 
ritwik06 said:
Have I missed out something guys? Why isn't anybody paying any heed to ma question?

Mods delete the thread...:cry:
 

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