Find the difference between the greatest and the least 5-digit number that can be written using the digits 6, 2, 7, 4, and 3 each only once.

Find the difference between the greatest and the least 5-digit number that can be written using the digits 6, 2, 7, 4, and 3 each only once.

To find the difference between the greatest and the least 5-digit number that can be written using the digits 6, 2, 7, 4, and 3 each only once, you need to arrange these digits in ascending and descending order to form the least and greatest numbers.

The greatest 5-digit number you can form is by arranging the digits in descending order: 7, 6, 4, 3, 2, which is 76,432.

The least 5-digit number you can form is by arranging the digits in ascending order: 2, 3, 4, 6, 7, which is 23,467.

Now, find the difference:

Difference = Greatest number - Least number Difference = 76,432 - 23,467

Difference = 52,965

So, the difference between the greatest and the least 5-digit numbers that can be formed using the digits 6, 2, 7, 4, and 3 is 52,965.