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The positive five-digit integers that use each of the digits 1, 2, 3, 4 and 5 exactly once are ordered from least to greatest. What is the 60th integer in the list?

 
 Oct 12, 2021
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5!=120

so it looks like you want the middle one.

 

so it will start with a 3  

How many are less than 30000?    That would be 2*4!=48

how many start with 31?    That would be 3! = 6

So another 6 will start with 32

So that means there are 60 that are less than 34000

 

So the 60th one must be  32541

 
 Oct 13, 2021

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