Arrangement of the digits

Suppose you are playing a game with your friends.

And, in this game you are given some numbered balls.

Suppose you have balls and the numbers printed on them are as

And your friend also has balls with printed numbers as

Now, the rule of this game is you have to make digit number from your balls.

And, the player who makes the largest number, faster will be the winner.

So, you and your friend started arranging the digits to make the largest number out of them.

Let’s see the arrangements of the digits.

Suppose, we consider balls with the digits printed on them.

And, we want to make digits number from them.

Here, we consider no digit is repeated in formation of the digit numbers from these digits.

Here, from the arrangement of the digits we can find out the greatest and smallest number.

So, for the smallest number the digit on the thousand place will be smaller.

Then we arrange the given digits in increasing order, to get the smallest number.

Therefore from this arrangement we can say that the number is the smallest number.

And, for the greatest number the digit on the thousand place will be greater.

For finding the greatest number, we arrange the digits in decreasing order.

So, from the given digits we have smaller digit number is and greatest number is .

Let’s understand this with one more example.

Suppose Ashok, Amar, Amresh, Vaibhav and Bala are 5 best friends.

All of them have a separate cardboard on which different numbers have been marked as

Then they make a five digit number as 85432.

Now, Amar told Ram thought of finding the largest five digit number using the numbers without repeating.

Ram told them for finding greatest five digit number, the number should be arranged in descending order as

So, the required largest five digit number will be .

And for finding smallest five digit number, the number should be arranged in increasing order. As

So, the smallest five digit number will be .

Revision

We can arrange digits to form the greatest and smallest number from them.

Suppose we have five numbers 4,3,2,5 and 8 for finding smallest five digit number, the number should be arranged in increasing order. As

Suppose we have four numbers 5,7,8,3.For finding the greatest number, we arrange the digits in decreasing order as

The End