Question

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 relative positions of vowels and consonants remains unaltered

Answer 1

Answer:

1/56

Step-by-step explanation:

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 relative positions of vowels and consonants remains unaltered

TRIANGLE

has 8 Letters

so total number of permutation = 8! = 40320

VOWELS = 3   ( I A E)

CONSONANTS = 5  (T R N G L)

relative positions of vowels and consonants remains unaltered

so total number of permutation = 3! * 5! = 6 * 120 = 720

Probability = 720/40320  = 1/56

probability of choosing a word from this list in which relative positions of vowels and consonants remains unaltered = 1/56