In how many different ways can the letters of the word ‘GEOMETRY’ be arranged so that the vowels always come together?  Choose the correct choice from the following.
A) 4323
B) 2797
C) 4320
D) 2997
E) 0811
Explanation:   There are in all 8 letters in the given word of which 3 are vowels. As the vowels should always be together, considering the 3 vowels as one letter, there are in all 6   letters which can be arranged in 6! ways = 720   Also the 3 vowels can be arranged in 3! ways = 6   Total number of arrangements = 720*6= 
<gadget id="calculator">720*6</gadget>
<output>4_320</output>
4320   ANSWER:4320
<result>C</result>
In how many different ways can the letters of the word ‘GEOMETRY’ be arranged so that the vowels always come together?