Question

Q3) Find the difference between the greatest and the smallest number that can be formed using the digits 6,2,7,4 and 3.
(no repetition of the digits allowed).​

Answer 1

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= 52,965

Answer 2

Answer:

Greatest number formed by using 6,2,7,4 and 3 = 76,432

Smallest number formed by using 6,2,7,4 and 3 = 23,467

Difference if greatest and smallest number = 76,432 - 23,467 = 52965

So, the answer is 52,965.

Step-by-step explanation:

Hope it's helpful to you :) :)