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

We consider a number greatest by arranging the given digits in descending order and similarly we consider a number least by arranging the digits in ascending order.

Answer: The difference between greatest and least number formed using the digits 6, 2, 7, 4, 3 each only once is 52,965.

Let's find the difference between greatest and least number formed using the digits 6, 2, 7, 4, 3 each only once.

Explanation:

The greatest number using the digits 6, 2, 7, 4, 3 each only once can be framed by arranging these digits in descending order.

Hence, the greatest number = 76,432

The smallest number using the digits 6, 2, 7, 4, 3 each only once can be framed by arranging these digits in ascending order.

Hence, the smallest number = 23,467

Difference between the greatest and the smallest number is,

76,432 - 23,467 = 52,965

Thus, the difference between greatest and least number formed using the digits 6, 2, 7, 4, 3 each only once is 52,965.