The greatest 8-digits number with given digits 5, 8, 7, 5, 2, 0, 6, and 1 is

Options

A. 88765210
B. 87765210
C. 88765521
D. 87655210

Answer

To find the greatest 8-digit number using the digits 5, 8, 7, 5, 2, 0, 6, and 1, we can follow these steps:

### Step-by-Step Solution:

1. **List the Digits**: Write down the digits we have: 5, 8, 7, 5, 2, 0, 6, and 1.

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 largest digit is 8.
- The next largest digit is 7.
- Following that is 6.
- Then we have two 5s.
- Next is 2.
- After that is 1.
- Finally, the smallest digit is 0.

So, arranging these in descending order gives us: 8, 7, 6, 5, 5, 2, 1, 0.

3. **Combine the Digits**: Now, we combine these digits to form the greatest 8-digit number:
- The number formed is 87655210.

### Final Answer:
The greatest 8-digit number that can be formed with the digits 5, 8, 7, 5, 2, 0, 6, and 1 is **87655210**.