CBSE Class 11-science Answered
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 | 21 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 | 21 Oct, 2010, 03:28: PM
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