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Question

What is the difference between the greatest and the least 5 digit number that can be written from 1, 3, 5, 7, 6? Also, find the difference between the greatest and the least 4 digit number that can be formed from them. [4 MARKS]


Solution

Concept: 1 Mark
Steps: 2 Marks
Answer: 1 Mark

The given digits are 1,3,5,7,6.
Now to find the greatest number, we will arrange the given digits in descending order, i.e. the greatest number to the extreme left, then the next one and so on.
To find the smallest number, we will arrange the digits in an ascending order, i.e. the smallest number to the extreme left and so on.

Greatest number = 76531

Smallest number = 13567

Difference = 76531 - 13567 = 62964

Similarly,
The greatest 4 digit number that can be formed using the given digits = 7653
The least 4 digit number that can be used using the given digits = 1356
The difference between the greatest and the least=7653 - 1356 = 6297

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