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Compare Number by Forming Numbers from a Given Digits

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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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Shaalaa.com | Forming Numbers from Digits Part 1

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