A word consist of 9 letters; 5 consonants and 4 vowels. Three letters are chosen at random. What is the probability that more than one vowel will be selected?

Explanation

9 letters=5 constant,4vowels

`.^9C_3`-total ways

Favorable cases->Vowels->more than one

2 vowels=`.^4C_2*.^5C_1`

3 vowels=`.^4C_3*.^5C_0`

`P=(.^4C_2*.^5C_1+.^4C_3*.^5C_0)/(.^9C_3)`.