Question

27. How many words with or without meaning, each of 2 vowels and 3 consonants can be
formed from the letters of the word 'HONESTY?​

Answer 1

Given : word 'HONESTY

To Find : ​ How many words with or without meaning, each of 2 vowels and 3 consonants can be  formed

Solution:

HONESTY

Vowels  - OE  = 2

Consonants  H N  S T Y   = 5

Number of  ways 2 vowels can be selected  =  ²C₂ = 1

Number of  ways 3 consonants can be selected  =  ⁵C₃ = 10

Total ways of selection = 10

Now 5 letters can be arranged in   5!   = 120 Ways

Total Words can be formed =  10 * 120 = 1200

1200  words with or without meaning, each of 2 vowels and 3 consonants can be  formed from the letters of the word 'HONESTY ​

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