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The English alphabet has 5 vowels and 21...

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?

Text Solution

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2 vowels can be chosen in 5c 2 ways.
2 consonants can be chosen in 21c 2 ways.
4 letter can be arranged in 4 ways.
∴ The no of words containing 2 vowels and 2 consonants =5c2×21c2×4!
=10×210×24
=50400
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