The computer identification numbers on the computers of a ce

The computer identification numbers on the computers of a certain company consist of 2 letters followed by 2 digits followed by 2 more numbers followed by 4 more digits. How many identification numbers are possible?

Solution

Since, a letter can be any of the 26 letters from A to Z, a digit can be any of 10 digits from 0 to 9 and a number (of 2 digits) can be any of 100 numbers from 00 to 99.

Thus, for the given case of 2 letters followed by 2 digits followed by 2 more numbers followed by 4 more digits, no.of possible combinations is given by multiplication of possibility for each letter, digit and number i.e.

26*26*10*10*100*100*10*10*10*10

=676*10¹⁰.

Thus, total 676*10¹⁰ identification numbers are possible.