SOLUTION: in how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?
Algebra ->
Permutations
-> SOLUTION: in how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?
Log On
You can put this solution on YOUR website! there are total 10 letters..
no. of M = 2
no. of A = 2
no. of N = 2
no. of E = 2
and others appear only one...
no. of ways to arrange these 10 letters = 10! / [ 2! * 2! * 2! * 2!]
= 226800
now, assume that two A i.e AA as single letter, total 9 letters
no. of ways to arrange these 9 letters where two 'A' always together
= 9! / [ 2! * 2! * 2! ]
= 45360
no. of ways of arrangement where two 'A' do not come together = 226800-45360
= 181440
