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Question
How many different words can be formed from the letters of the word 'GANESHPURI'? In how many of these words:
the vowels always occupy even places?
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Solution
The word GANESHPURI consists of 4 vowels that have to be arranged in the 5 even places. This can be done in 5! ways.
Now, the remaining 6 consonants can be arranged in the remaining 6 places in 6! ways.
Total number of words in which the vowels occupy even places = 5!\[\times\]6!
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