Asked by  | 20th Jan, 2014, 12:59: PM

Expert Answer:

1.
There are 3 vowels I, I, A in the word INDIA.
 
These 3 vowels can be put together in ways.
Considering these 3 vowels as one letter, there are 3 letters (taking 2 remaining letters, N and D).
 
Since corresponding to each arrangement of 3 vowels there are 3! ways of arranging remining 2 letters and one letter formed by 3 vowels.
 
Hence, by fundamental principle of multiplication, the required number of arrangements is
 
2. The number of arrangements of the word INDIA, in which all vowels do not put
together = Total arrangements - The number of arrangements in which all vowels put together
 
Total arrangments =
 
That is the required arrangement =

Answered by Vimala Ramamurthy | 21st Jan, 2014, 09:27: AM

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