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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 16th integer in the list?

 Apr 4, 2022
 #1
avatar+36416 
+1

14352   (I think!)

 Apr 4, 2022
 #2
avatar+117105 
+1

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 16th integer in the list?

 

How many start with 1?   4!=24

So it starts with 1

How many start with 12?    3!=6

So 6 start start with 12

another 6 start with 13

another 6 start with 14

14532 is the 18th

14523 is the 17th

14352 is the 16th.

 

Just as EP said     

 Apr 4, 2022

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