There are 26 letters(from A to Z) and 10 numbers(ranging from 0 to 9). A 3-string password is formed in the way: letter number number .Answer Q4-5.Q4How many different passwords that can be formed if the numbers CAN be used repeatedly?*1 分您的回答 這是必填問題Q5How many different passwords that can be formed if the numbers CANNOT be used repeatedly?
Question
There are 26 letters(from A to Z) and 10 numbers(ranging from 0 to 9). A 3-string password is formed in the way: letter number number .Answer Q4-5.Q4How many different passwords that can be formed if the numbers CAN be used repeatedly?*1 分您的回答 這是必填問題Q5How many different passwords that can be formed if the numbers CANNOT be used repeatedly?
Solution
Q4: The number of different passwords that can be formed if the numbers can be used repeatedly is calculated as follows:
- For the first position, we have 26 options (from A to Z).
- For the second and third positions, we have 10 options each (from 0 to 9), and these can be used repeatedly.
So, the total number of different passwords is 26 * 10 * 10 = 2600.
Q5: The number of different passwords that can be formed if the numbers cannot be used repeatedly is calculated as follows:
- For the first position, we still have 26 options (from A to Z).
- For the second position, we have 10 options (from 0 to 9).
- For the third position, we have 9 options left (since we cannot repeat the number used in the second position).
So, the total number of different passwords is 26 * 10 * 9 = 2340.
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