In how many ways can the letters of the word ABROAD be rearranged such that the vowels always appear together? Choose the correct choice:
A) 6!/2! B) 3!*3! C) 4!/2! D) 4! *(3!/2!) E) 3!*3!/2
In the word ABROAD , there are 3 vowels - 2 A's and O   Number of ways the letters of word ABACUS be rearranged such that the vowels always appear together   = (4! * 3! )/2!   We can consider the the 3 vowels as a single unit and there are 3 ways to arrange them . But since 2 elements of vowel group are identical we divide by 2! .   The entire vowel group is considered as a single group .   Answer 4! *(3!/2!)
<result>D</result>
In how many ways can the letters of the word ABROAD be rearranged such that the vowels always appear together?