Question

The number of five digits numbers that can be formed without any restriction is

• A. 990000
• B. 10000
• C. 90000
• D. None of these

Hint:

First digit cannot be 0 for a five-digit number.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Five-digit numbers range from 10000 to 99999.
Step 2: Detailed Explanation:
Total numbers from 1 to 99999 = 99999
Total numbers from 1 to 9999 = 9999
So five-digit numbers = \(99999 - 9999 = 90000\)
Alternatively: First digit can be 1-9 (9 ways), remaining 4 digits 0-9 (\(10^4\) ways)
Total = \(9 \times 10^4 = 90000\)
Step 3: Final Answer:
90000.