If vehicular number plates in Punjab follow the format PB NN@ NNNN where PB remains constant, @ represents any letter of the English Alphabet, N represents a numeral such that both N’s in NN@ can not be zero at the same time and all the 4 N’s in NNNN can not be zero at the same time, then how many such number plates can be issued ?

Since both N’s in NN@ can take any value from 0 to 9 except for one case where both are zero, so we can have 10 X 10 -1 = 99 such numbers and @ can take 26 different values.

In case of NNNN we can have 10 X 10 X 10 X 10 - 1 = 9999 possibilities since all N’s can not be zero.

Therefore, maximum such number plates possible = 99 X 26 X 9999 = 25737426.