Latest TCS Aptitude Question SOLUTION: In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? option (a) 360 (b) 480 (c) 720 (d

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In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
option
(a) 360
(b) 480
(c) 720
(d) 5040

Asked In TCS Sumandeep Ghosh (13 years ago)

Solved Asheesh Jain Read Solution (6)

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Read Solution (6) :

Asheesh Jain  (13 years ago)

here in the word LEADING,vowels are E,A,I.we want to arranged tat word such that vowels always comes together i.e in the form LDNG(EAI).So now word treated as a 5 alphabet word cause (EAI) treated as a single alphabet.
5 alphabets in the word can be arranged in =!5=120 ways
3 alphabets in(EAI) can be arranged in=!3=6 ways
total no of ways of arrangement so that voweles always come together=120*6=720.
so ans. is (c)

Is this solution Helpfull? Yes (23) | No (2)  

sameer  (9 years ago)

the answer is 720 ways

Is this solution Helpfull? Yes (4) | No (1)  

radha  (9 years ago)

5!*3!=720

Is this solution Helpfull? Yes (3) | No (2)  

dara naga anjani prasad  (9 years ago)

in the word LEADING, E,A,I are the vowels that we want vowels come to gather i.e.
3 vowels can grouped in
5 alphabets can be arranged in =5!=120 ways
3 alphabets can be arranged in=3!=6 ways
total no of ways vowels always come to gather=120*6=720 ways
ans is : (c)

Is this solution Helpfull? Yes (2) | No (3)  

sarumathipriya  (5 years ago)

in the word LEADING vowels are E,A,I and these are always come together so that the arrangement is
LDNG(EAI) hence 5!
vowels E,A,I has 3!
answer=5!*3!=720

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Ritik Rishi  (3 years ago)

5! * 3! =720.

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