Latest TCS Aptitude Question SOLUTION: The letters of the word TRIANGLE are permuted in all possible ways , then what is the probability of choosing a word from this list in which the relative positions of vowels and co

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The letters of the word TRIANGLE are permuted in all possible ways , then what is the probability of choosing a word from this list in which the relative positions of vowels and consonants remain unaltered is

a. 1/56
b. 2/5
c. 3/8
d. 5/6

Asked In TCS ashokkumar (10 years ago)

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Subham Chatterjee  (10 years ago)

ans:1/56
3 vowel can be placed in 3! ways.
5 consonant can be placed in 5! ways.
so probability is (3!*5!)/8!=1/56

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Bailore Pradyumna Acharya  (10 years ago)

1/56
The relative positions should remain unaltered.so consonents shud occupy the consonent positions and vowels shud occupy the vowel positions.
there are 3 vowels which can be arranged in 3! ways and 5 consonents can be arranged in 5! ways.so the probability=(3!*5!)/8!=1/56

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PRATEEK  (10 years ago)

vowels place can exchange with other vowels so 3! as there are 3 vowels,,similiarly consonant with other consonant 5!

total arrangements=31*5!
total poss arrangements=8!
so====(3!*5!)/8!=1/56

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