Question

Q4. Suppose account numbers for an internet service provider consist of alphanumeric characters. The first character is a digit (0 through 9). The next 4 characters are capital letters (A through Z) and the last four characters are digits. How many account numbers are possible if no digit appears more than once?

Answer 1

To calculate the number of possible account numbers, multiply the number of options for each character together: 10 * 26^4 * 10^4 = 456,976,000.

Step-by-step explanation:

To find the number of possible account numbers, we need to calculate the number of options for each character in the account number and then multiply those numbers together.

There are 10 options for the first digit since it can be any of the numbers 0 through 9.

There are 26 options for each of the next 4 characters since they can be any of the 26 capital letters A through Z.

Finally, there are 10 options for each of the last four characters since they can be any of the numbers 0 through 9.

To calculate the total number of possibilities, we can multiply the number of options for each character together:

10 * 26^4 * 10^4

= 456,976,000.