In how many ways can the letters of word TREATMENT be arranged such that all the vowels as well as all the Consonants always appear together?  Choose the correct choice from the following choices
A) 9!
B) 3!*6!*2!
C) 5!*5!
D) 5!*4!*2!
E) 6!*4!
Since all the vowels and consonants have to be together there can only be there are 3! way to order the vowels and 6! to order the consonants. But they must be together either vowels come first or consonants so you multiply by 2.   So 3!6!2! (3!*6!*2!)
<result>B</result>
In how many ways can the letters of word TREATMENT be arranged such that all the vowels as well as all the Consonants always appear together?