(i) Total number of letters in PERMUTATIONS
Only repeated letter is
First and last letter of the word are fixed as and respectively.
Number of letters remaining
⇒ Number of permutations =
(ii) Number of vowels in PERMUTATIONS
(E, U, A, I, O)
Now, we consider all the vowels together as one.
Number of permutations of vowels
Now total number of letters
⇒ Number of permutations =
Therefore, total number of permutations