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.

Given:

Few digits: 6, 2, 7, 4, 3

To find:

We need to find the difference between the greatest number and the least number formed using these given digits and one important thing is that each digit should occur only once in the number.

Let us move to the solution

Solution:

Step 1

To find the greatest number

The easy way to find the greatest number using the given digits where each digit occurring only once is to arrange the digits in descending order and the number obtained will be the greatest number formed by the given digits.

The greatest number formed using the digits 6, 2, 7, 4, 3 and each digit occurring only once= 76,432

Step 2

To find the smallest number

The easy way to find the smallest number using the given digits where each digit occurring only once is to arrange the digits in ascending order and the number obtained will be the smallest number formed by the given digits.

The smallest number formed using the digits 6, 2, 7, 4, 3 and each digit occurring only once=23,467

Step 3

Now  to find the difference between the above two numbers we get,

Difference between the greatest and smallest number=76,432-23,467

=52,965

Answer:

Hence, the difference between the greatest number and smallest number formed using the digits 6, 2, 7, 4, 3 each digit occurring only once= 52,695

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