Question

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

Answer 1

Answer:

Heart is the word formed from 2 vowels and three consonants with meaning.

Answer 2

Here Is Your Answer Mate....;

No. of Vowels in the word – DAUGHTER is 3.

No. of Consonants in the word Daughter is 5.

No of ways to select a vowel = 3c2 = 3!/2!(3 – 2)! = 3

No. of ways to select a consonant = 5c3 = 5!/3!(5 – 3)! = 10

Now you know that the number of combinations of 3 consonants and 2 vowels = 10x 3 = 30

Total number of words = 30 x 5! = 3600 ways

Hope it's Helpful....:)