The difference between the largest three digit number and the largest three digit number with distinct digits is ________ .

Options

A. 10
B. 0
C. 12
D. 13

Answer

To solve the problem of finding the difference between the largest three-digit number and the largest three-digit number with distinct digits, we can follow these steps:

### Step 1: Identify the largest three-digit number.
The largest three-digit number is 999.

### Step 2: Identify the largest three-digit number with distinct digits.
To form the largest three-digit number with distinct digits, we can use the digits 9, 8, and 7. Therefore, the largest three-digit number with distinct digits is 987.

### Step 3: Calculate the difference between the two numbers.
Now, we need to find the difference between the largest three-digit number (999) and the largest three-digit number with distinct digits (987).

\[ 999 - 987 = 12 \]

### Final Answer:
The difference between the largest three-digit number and the largest three-digit number with distinct digits is **12**.

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