Question

Consider a business with 12,000 employees, each of whom must be assigned a unique identifier within the company's payroll system. The identifier, which is a 6 digit code, is given through the following system:

(1) The first character is the employee's first initial.
(2) The second character is a letter between A-L, where each unique letter corresponds to the employee's birth month (A=January, B=February, etc.)
(3) The subsequent 4 digits can be any number between 0-9
Which of the following statements is most accurate?

Answer 1

The 6-digit identifier code system provided for the business is adequate for generating unique identifiers for 12,000 employees.

It combines the employee's first initial, birth month, and a four-digit number, yielding a total of 3,120,000 possible unique combinations, far exceeding the necessary amount.

Step-by-step explanation:

The question pertains to the creation of unique identifiers for a business with 12,000 employees using a 6-digit code system. The code is structured as follows:

• The first character is based on the employee's first initial.
• The second character represents the employee's birth month using letters A-L.
• The last four characters are digits that range from 0-9 and can be any combination.

Given this structure, there are 26 possibilities for the first initial (assuming only English alphabet letters are used) and 12 possibilities for the birth month. For the remaining four digits, since each digit can range from 0-9, there are 10,000 possible combinations (10´). Thus, the total number of unique identifiers that can be generated with this system is 26 (initials) × 12 (months) × 10,000 (numeric combinations) equals 3,120,000 possible unique identifiers.

Comparing this to the company's need for 12,000 unique identifiers, this system is more than adequate, as 3,120,000 is far greater than 12,000.