The greatest number of 5 digits formed with the digits 7, 2, 4, 8 and 0 is (use one digit only one time):

Options

A. 80742
B. 87042
C. 87420
D. 87402

Answer

To find the greatest 5-digit number that can be formed using the digits 7, 2, 4, 8, and 0, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Digits**: The digits available to us are 7, 2, 4, 8, and 0.

2. **Arrange the Digits in Descending Order**: To form the greatest number, we need to arrange these digits from the largest to the smallest. The order will be:
- 8 (largest)
- 7
- 4
- 2
- 0 (smallest)

3. **Form the Number**: By placing the digits in descending order, we get the number:
- 87420

4. **Verify the Digits Used**: Ensure that all the digits used (8, 7, 4, 2, 0) are unique and that we have used each digit only once.

5. **Final Answer**: The greatest 5-digit number that can be formed is **87420**.