Write the total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants.
2 out of 4 vowels and 3 out of 5 consonants can be chosen in 4C2
5C3 ways.
The total number of letters is 5. These letters can be arranged in 5! ways.
Total number of words =
4C2
5C3 
5!
= 6
10 
120
= 7200
1