Question

20. A word consists of 9 different alphabets, in which there are 4 consonants and 5 vowels. Three
alphabets are chosen at random. What is the probability that more than one vowel will be
selected ?
(ISC 2011)
​

Answer 1

Answer:

More than 1 means vowels will be 2 or 3

Then, with the help of Permutations and combination we can easily solve this,

Here, selection of vowels are as follow 5c2 * 4c1 + 5c3 * 4c0 = 50

And the total no of selections are 9c3 =84

So probability is = 25/42

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