In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?
Choose the correct choice:	A) 650	B) 720	C) 420	D) 122	E) 450
Explanation:   The word 'LEADING' has 7 letters. It has the vowels 'E','A','I' in it and these 3 vowels should always come together. Hence these 3 vowels can be grouped and considered as a single letter. that is, LDNG(EAI).   Hence we can assume total letters as 5 and all these letters are different. Number of ways to arrange these letters   =5!=5Ã—4Ã—3Ã—2Ã—1=120=5!=5Ã—4Ã—3Ã—2Ã—1=120   In the 3 vowels (EAI), all the vowels are different. Number of ways to arrange these vowels among themselves   =3!=3Ã—2Ã—1=6=3!=3Ã—2Ã—1=6   Hence, required number of ways   =120Ã—6=720   ANSWER IS 720
<result>B</result>
In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?