One 5 letter word is to be formed taking all letters ndash S A P T and E What is the probability tha...........

Quantitative Aptitude ( CCS) Probability

One 5 letter word is to be formed taking all letters – S, A, P, T and E. What is the probability that this the word formed will contain all vowels together?

2/5

3/10

7/12

3/5

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Explanation:

Total words that can be formed is 5! = 120
Now vowels together:
Take: S, P, T and AE
So their arrangement is 4! * 2! = 48
So required probability = 48/120 = 2/5

Hence, option 1 is the correct answer.