Latest TCS Aptitude Question SOLUTION: In how many ways can the letters of english alphabet be arranged so that there are seven letters in between A and B and no letter is repeated. ans: 18*24! 24P7*2*18! 36*24! 24P7*2*

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In how many ways can the letters of english alphabet be arranged so that there are seven letters in between A and B and no letter is repeated.
ans:
18*24!
24P7*2*18!
36*24!
24P7*2*20!

Asked In TCS Suresh Kumar (9 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

Nainsri Srivastava  (9 years ago)

A and B are fixed and can be arranged by 2!
remaining letters=24
Arrange 7 letters out of 24= 24P7
Now consider A +7 letters+B as 1 letter, now remaining letters=26-9=17
Then 1letter and 17 letters can be arranged by 18!
i.e 24P7*2!*18!

Is this solution Helpfull? Yes (23) | No (4)  

sunder lal  (9 years ago)

24c7*7!*2!*18!=36*24!

Is this solution Helpfull? Yes (12) | No (1)  

Mudit Mishra  (9 years ago)

any no of alpha can come before "a" " _a_ _ _ _ _ _ _b _" any no of alpha can come after "b".
to arrange
a,b there are 2! ways
7 digits between a & b = 24P7
and
remaining alphabet = let us assume a to b be 1 alphabet there fore the are total 18 alphabets hence we can arrange them in 18! ways

since all are done simultaneously so ans= 24P7*2*18!

Is this solution Helpfull? Yes (7) | No (2)  

Sourick  (9 years ago)

actually value of option b and c are same.so we can go for any1

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

ankita anand  (9 years ago)

24P7*2*18!

Is this solution Helpfull? Yes | No (2)  

tirupathi reddy  (9 years ago)

Ans is 24p7*2

Is this solution Helpfull? Yes | No (5)  

shubham jain  (9 years ago)

ans is .. 24C7 7!2!

Is this solution Helpfull? Yes | No (1)  

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