Alright, cool beans. Looks like you've got a problem on permutations and combinations. The question reads:
"Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?"
So we gotta find out how many ways we can pick 3 consonants from 7 and 2 vowels from 4. Then we'll figure out how many ways we can arrange these 5 letters to form a word. Let's get this bread!
Alrighty, we got the digits! The total number of words that can be formed is 25,200. So you see, math can be your friend if you let it.