SOLUTION: how many five letter words can be made from the letters of the word MANAGEMENT such that if any two alike letters are there then they are always together???

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Question 252674: how many five letter words can be made from the letters of the word MANAGEMENT such that if any two alike letters are there then they are always together???
Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
The given word is MANAGEMENT
M twice, N twice, A twice, E twice G once and T once occur in this word.
We have to keep any two alike letters always together
Consider the two M's as a single item,two N's as a single item,
two A's as a single item,two E's as a single item,G as ta single item and T as a single item. Then there are 6 different items.
They can be arranged in 6! ways.
Therefore total no of words formed with all the letters = 6! = 720