Question
Letters of the word "EDUCATION" is arranged. What is the probability that vowels and consonants are in alphabetical order?
Answer: Option A
:
A
There are 5 vowels and 4 consonants.
Total ways to arrange: 9!
Vowels can be arranged in 5! ways out of which in 15! they are in alphabetical order.
Similarly for consonants.
Total Favorable ways: 9!(5!×4!)
Total ways: 9!
P(E)= 1(5!×4!)
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:
A
There are 5 vowels and 4 consonants.
Total ways to arrange: 9!
Vowels can be arranged in 5! ways out of which in 15! they are in alphabetical order.
Similarly for consonants.
Total Favorable ways: 9!(5!×4!)
Total ways: 9!
P(E)= 1(5!×4!)
Was this answer helpful ?
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