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Question

Write the greatest and smallest 5-digit numbers with the digits:

1,0,3


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Solution

For the greatest number, select the smallest digit 0and write in the one's column. Next greater digit 1is written in the tens column. The next greater digit 3is written in the hundreds column. Since no digit, greater than 3is given, we repeat 3in the thousands column.

T-Th

Th

H

T

O

3

3

3

1

0

Therefore, the greatest number =33310

For the smallest number, select the greatest digit3, and write in the one's column. Next smaller digit in the tens column and so on. Repeat the smallest digit in the left-most columns. But here 1is smaller than 3 and then comes 0which cannot be repeated in the leftmost columns.

So, we write 1 in the leftmost column and repeat0 in the tens and hundreds place.

T-Th

Th

H

T

O

1

0

0

0

3

Therefore, the smallest number =10003


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