Really Good Question

i learned it the hard way , hope my solution helps

__C__C__C__C__Here is the arrangement of 4 Consonant such that between any two Consonant at most one Vowel can come but since the Vowels can also appear before the leftmost Consonant or after the rightmost Consonant so it gives us 5 places available for Vowels(represented by “___”)

But since we require only 3 places due to 3 vowels to be arranged so we will select the 3 places out of 5 in 5C3 ways = 10 ways

In the given arrangement the Consonants can be arranged in 4! Ways at the selected 4 places and,

All the vowels can also be arranged among themselves in 3! Ways

so Total ways to arrange the letters as per desired condition = 10*3!*4! = 1440

Answer: Option CHit the

Kudos Button if my solution helped

_________________

The Path is the Goal

Quant Mega Thread by Bunnel

WTF is “that” doing in my sentence? By VerbalNinja