Take two digits 0 and 1. Make the greatest 4-digit number using both the digits equal number of times.

Options

A. 1100
B. 1001
C. 1010
D. None of these

Answer

To solve the problem of creating the greatest 4-digit number using the digits 0 and 1, each appearing an equal number of times, follow these steps:

### Step-by-Step Solution:

1. **Understand the Requirements**: We need to create a 4-digit number using the digits 0 and 1, with each digit appearing an equal number of times. Since we need a 4-digit number, both digits must appear twice.

**Hint**: Remember that a 4-digit number has to be formed with two 1s and two 0s.

2. **List the Digits**: The digits we have are 0 and 1. We will use them twice each: 1, 1, 0, 0.

**Hint**: Write down the digits you will use to help visualize the combinations.

3. **Arrange the Digits**: To form the greatest number, we should place the larger digit (1) in the most significant positions.

**Hint**: Think about the place value of each digit; the leftmost digits have the highest value.

4. **Form the Number**: Start by placing the two 1s in the first two positions, followed by the two 0s. This gives us the arrangement: 1, 1, 0, 0.

5. **Write the Final Number**: The greatest 4-digit number we can form is 1100.

**Hint**: Double-check the arrangement to ensure it meets the requirement of being a 4-digit number.

### Final Answer:
The greatest 4-digit number using the digits 0 and 1, each appearing twice, is **1100**.