In how many ways can the letters of the word MANAGER be rearranged so that the two A's do not appear together?
1600
1700
1750
1800
1900
The number of ways in which the letters of the MANAGER can be arranged such that no two A's are together is = (7!/2) - 6! = 1800
In how many ways can the letters of the word 'VOWEL' be rearranged such that the vowels always appear together?
In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?