From 5 consonants and 5 vowels, how many words can be formed using 3 consonants and 2 vowels?

Step-by-step solution

We have to form words using 3 consonants and 2 vowels from 5 consonants and 5 vowels. So, firstly we will select consonants and vowels. This can be done in C 3 5 × C 2 5 ways. Now, these 5 letters needs to be arranged So, total number of words formed are C 3 5 × C 2 5 × 5 ! = 5 × 4 2 × 5 × 4 2 × 5 × 4 × 3 × 2 = 12000 .