Ephesians 1:4 tells us that, “he chose us in him before the foundation of the world.” You cannot miss the fact that the Bible clearly teaches that God has chosen us. Jesus in multiple places refers to the, “the elect, whom he chose” (Mk 13:20).
To say that the Bible is inerrant is to say that there are no errors or mistakes in the Bible. The doctrine of inerrancy is inseparable from the doctrine of inspiration. It’s quite simple actually. If God told Moses to write something down and God is the author, then there can be no mistake because God is perfect.