# Generating Numbers

Maths

## example

### Three digit number from given three digits

Example: Find the smallest three digit number from the given digits .
Solution: Arrange the given digits in ascending order(as smallest three digit number) we have , now as the number is a three digit number hence we cannot choose the first digit of the resultant number to be as it will make number a two digit number(say 078), hence the required number is

## example

### Three digit number from given four digits

Example: Find the smallest three digit number from the given digits .
Solution: Arrange the given digits in ascending order(as smallest three digit number) we have , now as the number is a three digit number hence we cannot choose the first digit of the resultant number to be as it will make number a two digit number(say 078), hence the required number is , keeping the choice of the digits in ascending order

## example

### Three digit numbers with given four digit

Example: Find the smallest three digit number from the given digits .
Solution: Arrange the given digits in ascending order(as smallest three digit number) we have ,  hence the required number is as we are choosing the digits of the resultant number in ascending order

## example

### Four digit number from given four digits

Example: Find the greatest four digit number from the given digits
Solution: Arranging the digits in descending order we get , Now the resultant number is a four digit number hence we cannot choose the first digit of the resultant number to be . Hence the resultant number is , choosing the digits of the resultant number in descending order.

## example

### Four digit number from given four digits

Example: Find the greatest four digit number from the given digits
Solution: Arranging the digits in descending order we get , Hence the resultant number is , choosing the digits of the resultant number in descending order.

## example

### Three digit number from given three digits

Example: Find the smallest three digit number from the given digits .
Solution: Arrange the given digits in ascending order(as smallest three digit number) we have , hence the required number is , choosing the digits of the resultant number in ascending order.