Question:

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

Updated On: Jun 15, 2024
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Solution and Explanation

Greatest five-digit number using digits 6,2,7,4,3  =    76432 
Smallest five-digit number using digits 6,2,7,4,3  = – 23467 
Difference                                                             =    52965 
Therefore the difference is 52965
To form the smallest 5-digit number using the digits 6, 2, 7, 4, and 3, arrange them in ascending order. Therefore, the smallest 5-digit number is 23467.
The difference between the largest and smallest numbers is calculated as 76432 - 23467 = 52965.
Hence, the difference between the two numbers is 52965.
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