Bunuel wrote:

A number plate is in the format of XXYYYY where X can be any of the 26 letters and Y can be any number (0-9). How many combinations are there if the plate starts with the letter N and has at least 1 non-zero digit?

A. 6,760,000

B. 260,000

C. 259,996

D. 259,974

E. 259,324

XXYYYY

First X is N so only 1 way possible =1

Second X can be any of the 26 alphabets = 26

All the four Y's can take up any of the 10 digits. Hence no of ways = 10*10*10*10

So total no of ways in which a number plate in the XXYYYY format can be formed = 1*26*10*10*10*10= 260,000

But it is mentioned that the number plates contain atleast one non-zero digit. Hence we need to exclude all those number plates that are of the form

NX0000 = 1*26*1*1*1*1=26

Hence total no of plates possible = 260,000-26=259,974

Option

D