Q5 of 31 Page 7

The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet?

We can choose 2 vowels from 5 vowels in 5C2 ways.


We can choose 2 consonants from 21 consonants in 21C2 ways.


Total number of words = 5C2 × 21C2





= 5× 2 × 21× 10


= 2100 ways


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