Login/RegisterQuantitative Aptitude :: Probability - Discussion
Home > Quantitative Aptitude > Probability > MCQs Questions Discussion
126 / 72
Choose the correct option.
The word TRIANGLE is permuted in all possible ways. what is the probability of choosing a word from the list in which the relative positions of vowels and consonants remain unaltered?
A1/56
B2/5
C3/8
D5/6
Answer: Option (Login/Signup)
Show Explanation
Asked In ::
STEP-BY-STEP
Answer: 1/56
Solution: According to the question the relative positions should remain unaltered. So consonants should occupy the consonant positions and vowels should occupy the vowel positions.
There are 3 vowels which can be arranged in 3! ways and 5 consonants which can be arranged in 5! ways.
So the probability=(3!*5!)/8!=1/56 (8! Because all the words can be arranged randomly in that number of ways.
Solution: According to the question the relative positions should remain unaltered. So consonants should occupy the consonant positions and vowels should occupy the vowel positions.
There are 3 vowels which can be arranged in 3! ways and 5 consonants which can be arranged in 5! ways.
So the probability=(3!*5!)/8!=1/56 (8! Because all the words can be arranged randomly in that number of ways.
Read Full Answer
Report Error
Please Login First Click Here
