Latest TCS Aptitude Question SOLUTION: How many words can be formed by using all the letters of the word “DAUGHTER” so that vowels always come together? a. 1320 b. 1540 c. 4320 d. 4540

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(#M40098695) TCS Numerical Ability question Keep an EYE

How many words can be formed by using all the letters of the word “DAUGHTER” so that vowels always come together?
a. 1320
b. 1540
c. 4320
d. 4540

Asked In TCS Kalyani Reddy (9 years ago)

Unsolved Read Solution (35)

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Read Solution (35) :

karthikeyank  (9 years ago)

Ans is : 4320
=AUE | DGHTR
=6!*3!
=720*6=4320

Is this solution Helpfull? Yes (39) | No   

d.sowjanya  (9 years ago)

D,G,H,T,R,(A,U,E)=6!
3 vowels can be arranged in 3! ways
ans = 6!*3!=720*6=4320

Is this solution Helpfull? Yes (2) | No   

sreeharsha  (9 years ago)

DGHTR(AUE)
TREAT ALL VOWELS AS ONE LETTER THEN NUM OF LETTERS ARE 6
6C6=6!=720
POSSIBLE WORDS FORMED BY 3 VOWELS ARE
3C3=3!=6
THEREFORE REQUIRED NUMBER OF WORDS =720*6=4320
SO ANSWER IS 'C'

Is this solution Helpfull? Yes (2) | No   

Seema Haldar  (9 years ago)

6! * 3! = 4320

Is this solution Helpfull? Yes (1) | No   

raunaque.afroz  (9 years ago)

ALL VOWEL together=3!=6
remaning letters are DGHTR
so
there 6 letter =6! *3!=4320

Is this solution Helpfull? Yes (1) | No   

koushik singha  (9 years ago)

6!*3!=4320

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Surit Datta  (9 years ago)

6! * 3! ways.
which is 4320 ways

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aditi  (9 years ago)

c. 4320
6!*3!

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mohammad shabeer  (9 years ago)

aue | dgtr
6! * 3!
4320

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murugan  (9 years ago)

DAUGHTER
D G H T R(AUE)
6!*3!=4320

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sarbani paul  (9 years ago)

ans-there is 3 vowels.. so the can arrange in 3! ways..now takng the vowels together we hav 5 consonant.
now so they can arrange in 6! ways.. so the word can arrange in 6!*3!=4320 ways

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srinivas  (9 years ago)

Ans:4320
Total leters 8 but 3 vowels take as 1 leter
Now total letters are 5+1=6
it is 6!
and 3 vowels 3! ways
total 6!*3!=4320

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santosh bagathi  (9 years ago)

c.430

taking vowels as one letter no of letters = 6 =>no of words formed =6! =720

three vowels = 3!= 6

total words formed =6!*3! =4320

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Priyanka Paul  (9 years ago)

ans-4320
3!*6!=4320

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ABHIMANYU KUMAR  (9 years ago)

DAUGTHTER
DGHTR =6!,(AUE)=3!
6!*3!=4320

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arti choudhari  (9 years ago)

correct ans. 4320

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santu pal  (9 years ago)

6!*3!=4320

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Supriya Mondal  (9 years ago)

Answer will be 6!*3!=4320
that is option c

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radha  (9 years ago)

6!*3!=4320

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sameer  (9 years ago)

the answer is 4320

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suman ghosh  (8 years ago)

(8-3+1)! * 3!= 6! * 3!=720 * 6= 4320

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Rajeev kumar  (8 years ago)

Total no. of ways=6!*3!=4320

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kavana j  (8 years ago)

ans:1320
"DAUGHTER"
{A E U}D G H T R
in the above braces are vowel i.e A E U it can be formed in 3 ways i.e 3!=6
|A E U|D G H T R (i.e A E U is consider as single letter)it formed single 6 letter i.e 6!=720
then 720*6=1320

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arjit acharya  (8 years ago)

VOWELS should be together
so we can can take "Doughter " as a combination of 3 vowels(o,u,e) as 1 unit and 5 consonents (d,g,h,t,r ) as 5 units
hence total no of alphabets now become 6
there number of ways of arranging 6 letters=6!
but the 3 vowels can also interchange there position in 3! ways
hence the answer is 6!*3!=4320

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surabhi  (8 years ago)

4320 we have totao=8letters in it 3 vowel and 5 consonent (5+1)
COME TOGTHER=6!*3!=4320

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Ghanshyam   (8 years ago)

c. 4320
because 6!*3!

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prabhat ranjan mishra  (8 years ago)

4320 is right answer

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konika kumar  (8 years ago)

4320=6!*3!

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ANMOL WADHWS  (8 years ago)

make consonants and vowels seperate DGHTR (AUE) now ways of arranging consonants is factorial 6 which is 720 and arrangements for vowels is factorial 3 we get the answer as 720* 6=4320.

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garima agrawal  (7 years ago)

6! * 3!=4320

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Vandana.R  (7 years ago)

720*6=4320

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jyothisamudram  (7 years ago)

dghtr and aue=6!*3!=4320

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agni manvi  (6 years ago)

4320
3!*6!

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neeraj kumar  (5 years ago)

DAUGHTER
AUE | DGHTR
=6!*3!
=720*6=4320

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mayur  (5 years ago)

c. 4320

6! * 3! = 4320

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