QuestionIn how many ways the letters of the word 'EXCELLENT' can be arranged so that the vowels are always together?
Solution,
Total no. of letters in given word= 9
Number of L’s = 2 times
Number of E’s = 3 time
According to the question,
The vowel letter (3E) must come together then 3E is considered as 1 letter
Then, remaining total letter (n)= 6+1
Thus, The total arrangement in which 3E always comes together =$\frac{7!}{2}$ =2520 Ways