In how many ways can the letters of the word AGENDA be rearranged such that the vowels always appear together? Choose the correct choice from the following: A) 6!/2! B) 3!*3! C) 4!/2! D) (4! *3!)/2! E) 3!*3!/2
In the word ABACUS , there are 3 vowels - 2 A's and E   Number of ways the letters of word AGENDA 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 AGENDA be rearranged such that the vowels always appear together?