Find the probability that in a random arrangement of the letters of the word ‘SOCIAL’ vowels come together
given: word “SOCIAL”
formula: 
In the random arrangement of the alphabets of word “SOCIAL” we have to find the probability that vowels come together
total possible outcomes of arranging the alphabets are 6!
therefore n(S)=6!
let E be the event that vowels come together
number of vowels in SOCIAL is A, I, O
therefore, number of ways to arrange them so (A, I, O) come together
n(E)= 4! × 3!
22