In how many different ways can the letters of the word ORGANISE be arranged in such a way that all the vowels always come together and all the consonants always come together?  Choose the correct choice from the following options:
A) 576
B) 1152
C) 2880
D) 1440
E) None of these
The word ORGANISE has 4 vowels and 4 consonants.   Now, both groups (vowels and consonants) can be treated as two letters. This can be arranged in 2! ways.   Now, the 4 letters of each group can be arranged.in 4! ways.   So, total possible ways of arrangement   = 2! × 4! × 4!   = 2 × 24 × 24 = 1152.   Answer 1152
<result>B</result>
In how many different ways can the letters of the word ORGANISE be arranged in such a way that all the vowels always come together and all the consonants always come together?