Understanding the Task
To form the smallest 6-digit number using the digits from 76508, we first need to analyze the available digits:
- The digits we have are: 7, 6, 5, 0, 8.
Since we are required to create a 6-digit number, we must repeat one of the digits. The goal is to create the smallest possible number.
Choosing the Digits
- The smallest digit available is 0, but we cannot place it at the beginning of the number. Hence, we need to choose the next smallest digit to start our number.
- The next smallest digit after 0 is 5.
Arranging the Digits
Now, let's construct the number:
1. Start with 5 (as the leading digit).
2. Use the smallest digit available after that, which is 0.
3. Then, we can use the digits 6, 7, and 8.
To maintain the smallest possible arrangement, we can repeat the smallest non-zero digit, which is 5.
Forming the Number
Putting it all together, the arrangement would be:
- 5 (leading digit)
- 0 (second digit)
- 5 (third digit, repeated)
- 6 (fourth digit)
- 7 (fifth digit)
- 8 (sixth digit)
Thus, the smallest 6-digit number formed by the digits 7, 6, 5, 0, and 8 is:
Smallest 6-digit Number: 505678