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The letters of the word ‘CLIFTON’ are placed at random in a row. What is the chance that two vowels come together?
The letters of the word ‘CLIFTON’ are placed at random in a row. What is the chance that two vowels come together?
CBSE | Class 11 | Exercise 33.3 | Maths | Probability | RD Sharma
The letters of the word ‘CLIFTON’ are placed at random in a row. What is the chance that two vowels come together?

Given is The word ‘CLIFTON’.

By using the formula of probability, we get,

P (E) = favourable outcomes / total possible outcomes

In the random arrangement of the alphabets of word “CLIFTON” we have to find the probability that vowels come together.

Total possible outcomes of arranging the alphabets are 7!

n (S) =7!

Let E be the event that vowels come together

Number of vowels in CLIFTON is I, O

Number of ways to arrange them where, (I, O) come together

n (E)= 6! × 2!

P (E) = n (E) / n (S)

= [6! × 2!] / 7!

= 2/7

i

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