Latest TCS Aptitude Question SOLUTION: In the island of punycity license plates for cars consists of 3 letters. 2 license plates are considered if and only if they contain the same 3 letters in the same order .How many

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In the island of punycity license plates for cars consists of 3 letters. 2 license plates are considered if
and only if they contain the same 3 letters in the same order .How many punycity license plates are
possible if the letter Q cannot occur as the last character and can only occur when the letter immediately
after it is U ?
a)17575 b)15625 c)15675 d)17650

Asked In TCS avijit sharma (8 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

Gourab Dutta  (8 years ago)

we have 26 letters.
so without Q now we have 25 letters.
so the license consist of 3 letters.
so now no of combinations can be possible 25*25*25=15625.
now if u put q in the license then it must like this
Q U _ = for this combination we have 25 values
_ Q U = for this combination we have 25 values
now the total combinations will be=15625+25+25=15675. :)

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

avijit sharma  (8 years ago)

What does that mean - - "2 license plates are considered if
and only if they contain the same 3 letters in the same order"??

Is this solution Helpfull? Yes (2) | No   

Richa  (8 years ago)

I think since it is given Q can only be there if U is just after it
Case 1: Q is followed by U keeping in mind Q can't occupy lst place
Q U 25ways to fill third place
25 ways to fill 1 position Q U.
Here see Q is not occupying the 3 place..
Case 2: when Q is not included
25*25*25
Adding both case we have ans 15675

Is this solution Helpfull? Yes (2) | No   

avijit sharma  (8 years ago)

Does anyone remember this qn..plzz post solution

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chaitalibanerjee  (8 years ago)

Bt in qustn Q is nt possible as last digit gourab dutta

Is this solution Helpfull? Yes | No (1)  

avijit sharma  (8 years ago)

@CHAITALIBANERJEE gourab has taken three cases & in none of the case, he has taken Q as last digit... In which r u facing problem??

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vikash rawat  (8 years ago)

15625

25*25*25=15625 no Q
UQ_--->25 ways to fill letter in last field

15625+25=15650

Is this solution Helpfull? Yes | No (2)  

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