The letters of word ldquo SOCIETY rdquo are placed in a row What is the probability that three...........

Quantitative Aptitude ( CCS) Probability

The letters of word “SOCIETY” are placed in a row. What is the probability that three vowels come together?

1/7

1/49

1/42

1/16

SCTY [OIE]

Consider "OIE" as a single element.

There are 5 objects.

These can be arranged in 5! ways. Further 3 vowels can be arranged in 3! ways.

=> 5!*3! = 120 * 6 = 720 Or 5!*3! = 5!*6 = 6!

Probability = No. of Fav. outcomes/Total no. of outcomes = 6!/7! = 1/7

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