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

Asked by aruni_maiyer | 21st Oct, 2010, 02:10: PM

Expert Answer:

Dear student,
 
Given : 5 vowels and 21 consonants.
 
select : 2 vowels and 2 consonants
 
We can choose 2 vowels from 5 in 5C2 ways = 10 ways
We can choose 2 consonants from 21 in 21C2 ways = 210 ways
 
Now these selected 4 letters can be arranged in 4! ways = 24 ways
 
By fundamental theorem,
total number of ways(words) = 10.210.24
                                       = 50400
 
We hope that clarifies your query,
regards,
Team topper Learning

Answered by  | 21st Oct, 2010, 03:28: PM

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