The number of ways the word management can be arranged is
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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
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Answer:
• 10
The word MANAGEMENT is a 10 letter word. Normally, any 10 letter word can be rearranged in 10 ! ways.
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