The word geometry has eight letters. three letters are chosen at random. what is the probability that two consonants and one vowel are chosen?

Step-by-step explanation:

The given word : geometry

Total letters in the above word = 8

Number of vowels (a e i o u) in word  =3

Number of consonants = 5

Number of ways to choose two consonant and one vowel is given by :-

Number of ways to choose any three letters from the 8 alphabets:-

Now, the probability that two consonants and one vowel are chosen :-

Hence, the required probability =