Question

You are asked to create a 12-character password. Each character may be one of the 26 letters of the alphabet or the numerals 1 through 9. How many different passwords are possible? Explain your reasoning.

Answer 1

The total number of different passwords possible when creating a 12-character password using the 26 letters of the alphabet and the numerals 1 through 9 is 3,090,859,375,000.

Step-by-step explanation:

In the given question, we need to create a 12-character password using the 26 letters of the alphabet and the numerals 1 through 9. We can determine the number of different passwords by finding the total number of choices each character has and multiplying them together.

Since each character can be one of 26 letters or 9 numbers, there are a total of 26 + 9 = 35 choices for each character. As we need to create a 12-character password, we multiply the number of choices for each character together:

Total number of different passwords = 35 * 35 * 35 * 35 * 35 * 35 * 35 * 35 * 35 * 35 * 35 * 35 = 35^12 = 3,090,859,375,000