# 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.

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.

Last updated date: 17th Sep 2023

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