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If a password consists of 3 letters followed by 2 digits, how many different pas

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Question: If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using the first 5 letters and 5 digits?

Options:

  1. 2500
  2. 5000
  3. 12500
  4. 15000

Correct Answer: 12500

Solution: 

The number of passwords = 5^3 × 5^2 = 125 × 25 = 3125.

If a password consists of 3 letters followed by 2 digits, how many different pas

Practice Questions

Q1
If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using the first 5 letters and 5 digits?
  1. 2500
  2. 5000
  3. 12500
  4. 15000

Questions & Step-by-Step Solutions

If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using the first 5 letters and 5 digits?
  • Combinatorial Counting – The question tests the ability to calculate the total number of combinations of letters and digits in a password format.
  • Exponential Growth – It involves understanding how to apply the rule of product (multiplication principle) for independent choices.
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