In how many different ways can the letter of the word 'LEADING ' be arranged in such a way that the vowels always come together?	Choose the correct answer:
A) 147 B) 963 C) 720 D) 789 E) 852
It has 7 different letters.   when the vowels EAI are always together, they can be supposed to form one letter.   then we have to arrange the letter LDNG (EAI)   now 4 letters can be arranged in 5!=120 ways   the vowels EAI can be arranged amoung themselves in 3!= 6 ways   required number of ways =120*6= 
<gadget id="calculator">120*6</gadget>
<output>720</output>
720   Answer(720)
<result>C</result>
In how many different ways can the letter of the word 'LEADING ' be arranged in such a way that the vowels always come together?