How many `6`-digit numbers are there?

Options

A. `=8.5 ` lakh
B. `=9.5 ` lakh
C. `=8 ` lakh
D. `=9 ` lakh

Answer

To find out how many 6-digit numbers there are, we can follow these steps:

### Step 1: Identify the smallest and largest 6-digit numbers.
- The smallest 6-digit number is **100000**.
- The largest 6-digit number is **999999**.

### Step 2: Use the formula to find the total number of 6-digit numbers.
We can calculate the total number of 6-digit numbers using the formula:
\[ \text{Total 6-digit numbers} = (\text{Largest 6-digit number} - \text{Smallest 6-digit number}) + 1 \]

### Step 3: Substitute the values into the formula.
Substituting the smallest and largest 6-digit numbers into the formula:
\[ \text{Total 6-digit numbers} = (999999 - 100000) + 1 \]

### Step 4: Perform the subtraction.
Now, calculate the subtraction:
\[ 999999 - 100000 = 899999 \]

### Step 5: Add 1 to the result.
Now, add 1 to the result from the previous step:
\[ 899999 + 1 = 900000 \]

### Conclusion:
Therefore, the total number of 6-digit numbers is **900000**.

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