Contradiction with Exodus 10:26
Exodus 10:24 suggests leaving behind resources, but Exodus 10:26 insists that no livestock will be left.
Exodus 10:26: Our cattle also shall go with us; there shall not an hoof be left behind; for thereof must we take to serve the LORD our God; and we know not with what we must serve the LORD, until we come thither.
Contradiction with Exodus 8:25
While Exodus 10:24 allows for leaving, Exodus 8:25 suggests staying and sacrificing within Egypt.
Exodus 8:25: And Pharaoh called for Moses and for Aaron, and said, Go ye, sacrifice to your God in the land.
Contradiction with Exodus 12:31-32
Exodus 10:24 suggests some might stay, but Exodus 12:31-32 has Pharaoh allowing everyone and everything to leave.
Exodus 12:31-32: And he called for Moses and Aaron by night, and said, Rise up, [and] get you forth from among my people, both ye and the children of Israel; and go, serve the LORD, as ye have said.
Contradiction with Exodus 3:18
Exodus 10:24 proposes a temporary departure, whereas Exodus 3:18 speaks of an initial three-day journey request.
Exodus 3:18: And they shall hearken to thy voice: and thou shalt come, thou and the elders of Israel, unto the king of Egypt, and ye shall say unto him, The LORD God of the Hebrews hath met with us: and now let us go, we beseech thee, three days' journey into the wilderness, that we may sacrifice to the LORD our God.