The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together is
Text Solution
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There are 5 vowels in the given word which are 4E’s & 1I.
Since they have to always occur together we take them as a single object E E E EI for the time being.
This single object together with 7 remaining object will account for 8 objects.
There 8 objects in which there are 3N's & 2D's can be arrangement in 
ways.
Corresponding to each of their arrangements the 5 vowels E, E, E, E & I which can be arranged in 
Hence, required number of arrangements.
Hence this is the correct option.
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