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Question

What is the difference in between the largest and the smallest 7 digit number formed using 9, 7, 5, 2, 4, 0 and 3? No digit is to be repeated.

A
67,19,731
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B
77,19,731
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C
67,19,741
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D
77,19,741
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Solution

The correct option is D 77,19,741
Option A) 77,19,741
Solution:
In order to find the largest possible number we write the digits in descending order. Hence,
The largest 5-digit number = 9754320

Similarly, while making the smallest four-digit number we write the digits in ascending order. We put the zero in the second place in this case. Hence,
The smallest 5-digit number = 2034579

Difference between the numbers = 9754320 - 2034579 = 7719741

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