Contradiction with Exodus 23:32
This verse instructs not to make a covenant with the inhabitants of the land, contradicting the action taken in Judges 1:24 where a covenant is essentially made by showing mercy to the individual and sparing him for information.
Exodus 23:32: Thou shalt make no covenant with them, nor with their gods.
Contradiction with Deuteronomy 7:2
Commands the Israelites to utterly destroy the inhabitants and make no covenants or show mercy, which contrasts with the actions in Judges 1:24 where they spare a man after he shows them the entrance to the city.
Deuteronomy 7:2: And when the LORD thy God shall deliver them before thee; thou shalt smite them, [and] utterly destroy them; thou shalt make no covenant with them, nor shew mercy unto them:
Contradiction with Joshua 9:15
Instructs not to make any alliances or spare the lives of the Gibeonites, contradicting the act of making a deal seen in Judges 1:24.
Joshua 9:15: And Joshua made peace with them, and made a league with them, to let them live: and the princes of the congregation sware unto them.
Paradox #1
The contradiction in this context could be that the events and conquests described in the Book of Judges sometimes differ from those detailed in other parts of the Bible, such as in the Book of Joshua. Specifically, the two books sometimes give different accounts of how certain Canaanite cities were conquered and who was involved. This can create confusion or appear inconsistent to readers comparing the narratives.