Find the difference between the greatest and the least 5-digit number that can be written using the digits 6, 2, 7, 4, and 3 each only once.

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74362

56729

52965

None of these

answer is C.

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Detailed Solution

Concept- The largest number is creating by sorting the given digits from largest to smallest. This is due to the fact that a digit’s place value is increased when it is located at the very left of a number. Therefore, to increase the value of the number, the largest digit should be positioned at the very left of the number.
For the greatest number, we will get the descending order of the given numbers, and for the smallest number, we will get the ascending order. Then get the difference between them.
The descending order of 6, 2, 7, 4, 3=76432
So, the greatest number is 76432
The ascending order of 6, 2, 7, 4, 3=23467
So, the smallest number is 23467
The difference between the greatest and the smallest number, we get
76432-23467=52965
Hence, the correct answer is option 3) 52965

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