SOLUTION: three letters word is formed by selecting the letters randomly(without considering the meaning) from the word NEIGHBOUR find the probability of the words containing the vowels only

1.  The given word  NEIGHBOUR  has 9 letters, all of them are different.

    From 9 different letters, you can make 9*8*7 = 504 different 3-letter words.



2.  The word  NEIGHBOUR  has 4 vowels, all of them are different.

    From 4 different vowels, you can make 4*3*2 = 24 different 3-letter words consisting of 3 vowels each.



3.  Therefore, the probability ubder the question is   =  = 0.0476 = 4.76%  (approximately).