To find the difference between the greatest and the least number that can be formed using the digits 6, 2, 7, 4, and 3 each exactly once, follow these steps:
1. Identify the digits provided: The digits given are 6, 2, 7, 4, and 3.
2. Form the greatest number possible:
- To get the greatest number, arrange the digits in descending order.
- The descending order of the digits 6, 2, 7, 4, and 3 is 7, 6, 4, 3, and 2.
- Placing these digits together forms the number 76432.
3. Form the smallest number possible:
- To get the smallest number, arrange the digits in ascending order.
- The ascending order of the digits 6, 2, 7, 4, and 3 is 2, 3, 4, 6, and 7.
- Placing these digits together forms the number 23467.
4. Calculate the difference between the greatest and the least number:
- Subtract the smallest number from the greatest number.
- Calculation: 76432 - 23467 = 52965.
Therefore, the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, and 3 each only once is 52965.
