the word TRIANGLE is permuted in all poosible ways.what is the probability of choosing a word from the list in which the relative positions of vowels and consonants remain unaltered?
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
  
• 11 years agoHelpfull: Yes(35) No(2)
• probablity of vowel can be placed is 3! .
  probablity of consonant can be placed in 5! .
  so probability of vowels and consonants remain unaltered is (3!*5!)/8!=1/56
  ans=1/56
• 11 years agoHelpfull: Yes(5) No(0)
• 1/56 ans
  relative position of vowels (I,A,E)= 3,4,8
  SIMILARLY FOR CONSONANTS = 1,2,5,6,7
  THUS , RELATIVE POS. OF VOWELS CAN CHANGE BY 3!
  SIMILARLY, FOR CONSONANTS BY 5!
  TOTAL ARRANGMNT = 8!
  ANS (5!*3!)/8! = 1/56
• 11 years agoHelpfull: Yes(3) No(0)