No vowel is between 2 consonants means all consonants are appearing together.
Now the question becomes, total ways so that consonants are always together.
For this take (P,R,M,T,R) as one unit
so we have to arrange
(PRMTR)-A-A-E-E
This can be done in
(5!/2!) * (5!/2!*2!) ways
1800 ways is the right answer
Moderation Team
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