Explanation:

Answer
2160
Explanation :
7 letters = 7! /2!= 5040/2 = 2520
Vowels => I I E = 3!/2! =6/2 = 3
Consonants 4 + all vowels considered as 1 = 4+1 = 5 => 5! = 120
120*3 = 360
No of ways the vowels never come together = 2520 – 360 = 2160