If they can be arranged into 24, different ways, there are 6 ways each number gets. So, since 3142 starts with 3, it would be past the 12 mark. If you think about it there is only one smaller number than 3142, and that is 3124. So, 3142 would be after 3124, and 3124 is number 13. So therefore, 3142 is in the 14th position.
LMK if that is correct! I didn't write it down or anything so I might've got something wrong but you can think about it this way!