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प्रश्न
How many words can be formed with the letters of the word 'UNIVERSITY', the vowels remaining together?
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उत्तर
The word UNIVERSITY consists of 10 letters that include four vowels of which two are same.
Thus, the vowels can be arranged amongst themselves in
By fundamental principle of counting, we get,
Number of words = 7!\[\times\]\[\frac{4!}{2!}\] = 60480
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