Latest self Aptitude Question SOLUTION: the letters forming the name CLINTON are placed at random in a row. What is the chance that the two vowels come together

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the letters forming the name CLINTON are placed at random in a row. What is the chance that the two vowels come together

dola (12 years ago)

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Garima  (12 years ago)

words formed by letters of word CLINTON where tho vowels are together is 2*6!/2!= 6!
Total possible words formed by letters of word CLINTON = 7!/2!

chance that the two vowels come together = 6!/(7!/2) = 2/7

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jai  (12 years ago)

ans :720

The word 'CLINTON' has 7 different letters.

When the vowels IO are always together, they can be supposed to form one letter.

Then, we have to arrange the letters CLNTN (IO).

Now, 6 (5 + 1 = 6) letters of which N occurs 2 times ,so(6!/2!)=360 ways

The vowels (IO) can be arranged among themselves in 2! = 2 ways.

Required number of ways = (360*2) = 720.

Is this solution Helpfull? Yes (3) | No (1)  

dola  (12 years ago)

Here the question is of PROBABILITY. it is NOT asking of the no. of times when vowels are together but the CHANCES in which they are together.

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kinjal  (12 years ago)

ANS is 360

letter formed by CLINTON word where tho vowels are together is 6!/2! * 2! = 360
here divided by 2! because we have N two times

Is this solution Helpfull? Yes (1) | No (3)  

jai  (12 years ago)

ans :720

The word 'CLINTON' has 7 different letters.

When the vowels IO are always together, they can be supposed to form one letter.

Then, we have to arrange the letters CLNTN (IO).

Now, 6 (5 + 1 = 6) letters of which N occurs 2 times ,so(6!/2!)=360 ways

The vowels (IO) can be arranged among themselves in 2! = 2 ways.

Required number of ways = (360*2) = 720.

Is this solution Helpfull? Yes (1) | No (1)  

prashanthi  (12 years ago)

240 ways
i,o are two vowels together can be placed in 2 ways i.e io are oi
and remaining 5 in 5!ways
5!*2=120*2=240

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