Question

The letters of the word SAVITA are arranged at random. Find the probability that vowels are always together.

Answer 1

Answer:

1/5

Step-by-step explanation:

Hi,

Given that the letters of the word SAVITA are arranged at

random, so total number of distinct words that could be made

are 6!/2! = 360

If vowels are always together, there are 3 vowels in the 6 letter

word, taking all 3 vowels as 1 unit, we can arrange the rest 3 and

this unit(in total 4) in 4! ways. But the 3 vowels can be arranged

among themselves in 3!/2! ways = 3. Hence,Total number of

ways in which vowels are together are 3*4! = 72

So, probability that all vowels are together is 72/360 = 1/5

Hope, it helps !