How many six-digit numbers are there in Hindu-Arabic system?

Options

A. 2,00,000
B. 9,00,000
C. 8,00,000
D. 7,00,000

Explanation

To find out how many six-digit numbers exist in the Hindu-Arabic numeral system, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Range of Six-Digit Numbers**:
- The smallest six-digit number is 100000.
- The largest six-digit number is 999999.

2. **Calculating the Total Count of Six-Digit Numbers**:
- To find the total number of six-digit numbers, we can use the formula:
\[ \text{Total Six-Digit Numbers} = \text{Largest Six-Digit Number} - \text{Smallest Six-Digit Number} + 1 \]
- Plugging in the values:
\[ \text{Total Six-Digit Numbers} = 999999 - 100000 + 1 \]

3. **Performing the Calculation**:
- First, subtract 100000 from 999999:
\[ 999999 - 100000 = 899999 \]
- Then, add 1 to the result:
\[ 899999 + 1 = 900000 \]

4. **Conclusion**:
- Therefore, the total number of six-digit numbers in the Hindu-Arabic system is **900000**.

### Final Answer:
The total number of six-digit numbers in the Hindu-Arabic system is **900000**.

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