Latest TCS Aptitude Question SOLUTION: In how many ways can we arrange A-Z when A and I can have only 6 letters between them?

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In how many ways can we arrange A-Z when A and I can have only 6 letters between them?

Asked In TCS Rajarshi Bhattacharyya (11 years ago)

Unsolved Read Solution (12)

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kratika jain  (11 years ago)

a_ _ _ _ _ _i dis or i_ _ _ _ _ _a= 2
26-2=24 arranging 6 alphabets out of 24= 24c6*6!
we have 26-8=18+1=19 packets (18 alphabet + 1 cmbination of a/i _ _ _ _ _ _ i/a)
dis cud be arrange in 19! ways
therefore 2*24c6*6!*19! (ans)

Is this solution Helpfull? Yes (35) | No (1)  

sourav mukherjee  (11 years ago)

Ans: 24! * 38
Out of the 26 slots, two
slots are allocated for A and
I and can be filled in 2,1
ways (The first slot can be
A or I and the second slot
the remaining).
The number of ways in
which A and I can occur in
different slots = 26-(6+1) =
19
Hence total num of ways =
24! * 2 * 19 = 24! * 38

Is this solution Helpfull? Yes (26) | No (8)  

Pratyusha Bhadra  (11 years ago)

A,_,_,_,_,_,_,I...so if we assume this total arrangement as 1 thn it is 26-8+1=19
so the number of ways is,19!*2!*6!'
plz let me knw if i am wrong

Is this solution Helpfull? Yes (5) | No (4)  

varinder kumar  (11 years ago)

24c6*6!*2!*18!

Is this solution Helpfull? Yes (4) | No   

Amit Kumar  (11 years ago)

no. of positions can be occupied by A & I=2!(1+18)
arrangement of rest 24 letters is 24!
so solution is 38*24!

Is this solution Helpfull? Yes (2) | No   

Pratyusha Bhadra  (11 years ago)

@VARINDER KUMAR i thnk dat shld be 19! instead of 18!

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samarth shrivastava  (11 years ago)

ans is 4845456

Is this solution Helpfull? Yes | No (2)  

Tarun Sharma  (11 years ago)

24c6*6!*2!*18!

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Roshan Sharma  (11 years ago)

19!*2!*6!...

Is this solution Helpfull? Yes | No (2)  

archana kumari  (11 years ago)

19!*6!
there are 6 no between A and I which can arrange in 6! way ,A and I can arrange in 1 ways.left 18 alpha bates +1=19!ways
so ans should be 19!*6!.

Is this solution Helpfull? Yes | No (4)  

ritabrata gautam  (11 years ago)

guys dont be confused .... 2*24c6*6!*19! == 24! * 38 ...both are correct answer but with different approach

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Guru Pranav  (11 years ago)

24!*39 Ans

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