Question

How many words with or without meaning, each 2 of vowels and 3 consonants can be formed from the letters of the word DAUGHTER? In the today's society, we see that many parents don't want girl child and get the abortion before the birth. What values is violated by the parents?

Answer 1

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.