Arranging Letters of 'Daughter' with Specific Conditions

[ritwik06]

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?

 

[ritwik06]

Have I missed out something guys? Why isn't anybody paying any heed to ma question?

 

[ritwik06]

Have I missed out something guys? Why isn't anybody paying any heed to ma question?

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