In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?  Answers
A) 720  B) 420  C) 320  D) 520  E) None of these
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!=5×4×3×2×1=120   In the 3 vowels (EAI), all the vowels are different. Number of ways to arrange these vowels among themselves   =3!=3×2×1=6   Hence, required number of ways=120×6=720   720nswer : 720
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In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?