Question

If the letters of the word ‘abridge' be arranged randomly, what is the probability that all vowels are not together

Answer 1

Answer:

6/7

Step-by-step explanation:

If the letters of the word ‘abridge' be arranged randomly, what is the probability that all vowels are not together

abridge  

total Letters = 7  = 5040

Vowels = 3   ( a  , i  , e)

Total possible numbers = 7!  =

Lets Make a group of all Vowels

now  4 consonants & 1 group of Vowel  = 5

5!

& 3 Vowels = 3!

Total Possible Numbers = 5!.3!  = 720

Numbers when all vowels are not together  = 5040 - 720 =  4320

Probability = 4320/5040  =  6/7

probability that all vowels are not together = 6/7