Latest IBM Aptitude Question SOLUTION: In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together? A. 610 B. 720 C. 825 D. 920

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In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together?

A. 610

B. 720

C. 825

D. 920

Asked In IBM alekhya gandhi (9 years ago)

Unsolved Read Solution (14)

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Read Solution (14) :

uthra murugesan  (8 years ago)

The word 'OPTICAL' contains 7 different letters.

When the vowels OIA are always together, they can be supposed to form one letter.

Then, we have to arrange the letters PTCL (OIA).

Now, 5 letters can be arranged in 5! = 120 ways.

The vowels (OIA) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720.

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reshma  (9 years ago)

i heard that 4 members got offer letter..is it true ?

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karthiga  (8 years ago)

ans:720
oia =1!
ptcl=4!
1!+4!=5!
oia=3!
so...
5!*3!
=720

Is this solution Helpfull? Yes (3) | No (1)  

reshma  (9 years ago)

yes..i too got selected in the same college on the same date..
My name is Reshma and mail ID is bhimireddyreshma@gmail.com
Guys..plzz let me know if u have any updates regarding verifications, joining dates and if anyone got any mail from IBM.

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swetha.Gunda  (9 years ago)

yes alekhya.. Post your mail id

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alekhya gandhi  (9 years ago)

alekhya.buddha007@gmail.com

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ANTONY LOUIS L  (9 years ago)

antonylouis93@gmail.com

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Yohan prakash  (9 years ago)

hi guys i have applied for ibm off campus in malla reddy college i didnt get hall ticket and any conformation mail.... so tell me the event date?????

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anusha  (9 years ago)

Hi alekhya my email yendurianusha@gmail.com.If u know any information please inform to me.

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Lavanya Rathnam  (9 years ago)

hi to all if anybody having ibm any material plz send me my id is 111lovelylavanya@gmail.com...

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AMREEN  (9 years ago)

hi guys if anyone have ibm material can u forward to my mail id : amreen.slt252@gmail.com
pl..help me out

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K BALL REDDY  (8 years ago)

ANS: (B) :720
vowels O,I,A 3 LETTERS 3!= 3*2*1= 6
CONSONETS P,T,C,L,(VOWELS) 5 (TOTAL VOWEL ALSO ONE )
5! = 5*4*3*2*1 * (3*2*1) =720
CONSONETS VOWELS

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  (6 years ago)

OPTICAL is the word given. We need the vowels together. OIA are the vowels here.
(OIA) and P C L T are the letters available now. So 5! (4 consonants and one group of vowels) * 3! (for the group of three vowels)

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  (6 years ago)

OPTICAL is the word given. We need the vowels together. OIA are the vowels here.
(OIA) and P C L T are the letters available now. So 5! (4 consonants and one group of vowels) * 3! (for the group of three vowels)

5!*3!= 120*6= 720
(B)

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