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

• 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
• 10 years agoHelpfull: Yes(25) No(0)
• 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
• 10 years agoHelpfull: Yes(13) No(0)
• 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
• 10 years agoHelpfull: Yes(2) No(0)