To solve the problem, we need to find both the greatest and the least numbers that can be formed using the digits 6, 2, 7, 4, and 3, each used only once.
Step 1: Finding the Greatest Number
To form the greatest number, we should arrange the digits in descending order. The digits in descending order are: 7, 6, 4, 3, and 2. Therefore, the greatest number we can form is:
- 76432
Step 2: Finding the Least Number
For the least number, we arrange the digits in ascending order. The digits in ascending order are: 2, 3, 4, 6, and 7. Thus, the least number we can create is:
- 23467
Step 3: Calculating the Difference
Now that we have both numbers:
- Greatest number: 76432
- Least number: 23467
We can calculate the difference between the greatest and least numbers:
Difference = Greatest Number – Least Number
Difference = 76432 – 23467
Difference = 52965
Conclusion:
The difference between the greatest and the least number that can be formed with the digits 6, 2, 7, 4, and 3 is 52965.