How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER ?

Explanation

There are 3 vowels and 5 consonants in the word DAUGHTER out of which 2 vowels and 3 consonants can be chosen in ` 3_(C_2) times 5_(C_3)` ways.

These selected five letters can be arranged in 5! ways.

Hence, total number of words

`=> 3_(C_2) times 5_(C_3) times 5 !`


`=>3 times 10 times 120=>3600`


The value violated by the parents is equality because they make a difference between the girl and the boy child.