X is the smallest four -digit number formed by all the digit 0,1,2 and 3. Find X.

Options

A. 123
B. 1023
C. 1000
D. 102

Answer

To find the smallest four-digit number formed by the digits 0, 1, 2, and 3, we can follow these steps:

### Step 1: Identify the digits
The digits we have are 0, 1, 2, and 3.

### Step 2: Determine the first digit
Since we are forming a four-digit number, the first digit cannot be 0 (as it would make it a three-digit number). The smallest digit we can use as the first digit is 1.

### Step 3: Arrange the remaining digits
After choosing 1 as the first digit, the remaining digits are 0, 2, and 3. To form the smallest number, we should arrange these digits in ascending order.

### Step 4: Form the number
Arranging the digits 0, 2, and 3 in ascending order gives us 0, 2, and 3. Therefore, the number formed is:
- First digit: 1
- Remaining digits in order: 0, 2, 3

So, the smallest four-digit number is 1023.

### Conclusion
Thus, the smallest four-digit number formed by the digits 0, 1, 2, and 3 is **1023**.