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?

Guest Apr 4, 2022

#2**+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

Melody Apr 4, 2022