How Many words, with or without meaning, each of $2$ vowels and $3$ consonants can be formed from the letters of the word $D A U G H T E R$ ?

Open in App

Solution

Total number of letters are $8$

Total vowels $= 3$ and consonants $= 5$

Now we have to make a word using five letters from given word.

Here we have to choose $2$ out of three vowels and $3$ out of $5$ consonants which can further be arranged in $5!$ ways.

$^{3} C_{2} \times^{5} C_{3} \times 5!$

Suggest Corrections

Similar questions

Q. From the letters of the word

^{'} D A U G H T E R^{'}

, how many words can be formed each consisting of

2

vowels and

3

consonants?

Q. How many words, with or without meaning each of

3

vovels and

2

consonants can be formed from the letter of the word

I N V O L U T E

Q. How many words with or without meaning taking 3 consonants and 2 vowels can be formed using 5 consonants and 4 vowels?

Q. How many different words can be formed from the letters of the word GANESHPURI when:
How many words of 5 letters each can be formed each containing 3 consonants and 2 vowels?

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?

Join BYJU'S Learning Program

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

Total number of letters are 8Total vowels =3 and consonants =5Now we have to make a word using five letters from given word. Here we have to choose 2 out of three vowels and 3 out of 5 consonants which can further be arranged in 5! ways.3C2×5C3×5!

How Many words, with or without meaning, each of $2$ vowels and $3$ consonants can be formed from the letters of the word $D A U G H T E R$ ?

Total number of letters are $8$

Total vowels $= 3$ and consonants $= 5$

Now we have to make a word using five letters from given word.

Here we have to choose $2$ out of three vowels and $3$ out of $5$ consonants which can further be arranged in $5!$ ways.

$^{3} C_{2} \times^{5} C_{3} \times 5!$