In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?	Select.
A) 10080  B) 4989600  C) 120960  D) 180960  E) None of these
The given words contain 8 letter MTHMTCS(AEAT), so 8!.   Then the 4 vowels can be formed differently, 4!.   But there are three words have repeated in the given words. So it should be divided by 2!*2!*2!.   Hence the solution is (8! * 4!) / (2! * 2! * 2!) = 120960   ANSWER:120960
<result>C</result>
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?