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Get Answers to all your Questions
Q.11. In how many ways can the letters of the word PERMUTATIONS be arranged if the
(ii) vowels are all together?
Answers (1)
There are 5 vowels in word PERMUTATIONS and each appears once.
Since all 5 vowels are to occur together so can be treated as 1 object.
The single object with the remaining 7 objects will be 8 objects.
The 8 objects in which 2 T's repeat can be arranged as
ways.
These 5 vowels can also be arranged in ways.
Hence, using the multiplication principle, the required number of arrangements are
ways.
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