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Form the greatest and smallest numbers using the digits $5, 2, 9, 7 ($ each digit used only once) . What is the difference between the two numbers formed?

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6853

7173

7359

8659

answer is B.

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Detailed Solution

Concept- Sort the provided digits in ascending order to get the largest number. Put the digits in ascending order to get the least number.
As demonstrated below, ordering the numbers

5, 2, 9, and 7

in ascending order yields the largest number.
Greater than

9752

The digits

5, 2, 9, and 7

are arranged in ascending sequence as shown below to produce the smallest number.

Minimal number : 2579

The following diagram illustrates how to determine the difference between the largest and lowest number.

Difference = 9752 - 2579

Difference = 7173

Because there is a difference of

7173

between the largest and lowest numbers,
Hence, the correct option is 2.

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