# Compare Number by Forming Numbers from a Given Digits:

When forming numbers from given digits, we should be careful to see if the conditions under which the numbers are to be formed are satisfied by interchanging positions of digits.

## 1. Forming Numbers from Digits without repetition:

Suppose, we have four digits 7, 8, 3, 5. Using these digits we want to make different 4-digit numbers in such a way that no digit is repeated in them. Thus, 7835 is allowed, but 7735 is not.

Use the given digits without repetition and make the greatest and smallest 4-digit numbers.

(a) 8357, 3578, 5783, etc. are examples of 4-digit numbers.

The greatest number is 8753 and the smallest is 3578.

## 2. Forming Numbers from Digits by using any one digit twice:

Make the greatest and the smallest 4-digit numbers by using any one digit twice.

(a) 3, 8, 7

The greatest number is 8873 and the smallest is 3378.

(b) 9, 0, 5

The greatest number is 9950 and the smallest is 5009.

#### 3. Forming Numbers from Digits by using different digits:

Make the greatest and the smallest 4-digit numbers using any four different digits with conditions as given.

(a) Digit 7 is always at one's place

Greatest:

 9 8 6 7

Smallest:

 1 0 2 7

(b) Digit 4 is always at tens place:

Greatest:

 9 8 4 7

Smallest:

 1 0 4 2

(c) Digit 9 is always at hundreds place

Greatest:

 8 9 7 6

Smallest:

 1 9 0 2

(d) Digit 1 is always at thousands place

Greatest:

 1 9 8 7

Smallest:

 1 0 2 3
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Forming Numbers from Digits Part 1 [00:11:02]
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