# 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.

Last updated date: 24th Mar 2023

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Answer

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Hint: Greater number will begin with $7$ and smallest number will begin with $2$.

Given digits: \[6,2,7,4,3\]

For the greatest number, we will arrange these numbers in decreasing order and for the smallest number, we will arrange in increasing order.

$\therefore $Greatest number$ = 76432$ and Smallest number$ = 23467$

Hence, difference between greatest number and smallest number$ = 76432 - 23467 = 52965$

Therefore, the difference between the greatest and the least 5-digit number that can be written using the digits \[6,2,7,4,3\] is $52965$.

Note: Whenever you are supposed to find the greatest number and smallest number formed using certain digits, always start with the largest digit first and smallest digit first respectively.

Given digits: \[6,2,7,4,3\]

For the greatest number, we will arrange these numbers in decreasing order and for the smallest number, we will arrange in increasing order.

$\therefore $Greatest number$ = 76432$ and Smallest number$ = 23467$

Hence, difference between greatest number and smallest number$ = 76432 - 23467 = 52965$

Therefore, the difference between the greatest and the least 5-digit number that can be written using the digits \[6,2,7,4,3\] is $52965$.

Note: Whenever you are supposed to find the greatest number and smallest number formed using certain digits, always start with the largest digit first and smallest digit first respectively.

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