The doctrine that God has foreordained all things which will come to pass yet He is not the author of sin. He does, however, use sinful things for His glory and purpose. For example, the crucifixion was brought about by sinful men who unrighteously put Jesus to death (Acts 4:27); yet, in that death, we are reconciled to God (Rom. 5:10).
Predestination maintains that God is the one who wills who will be saved (Rom. 9:16) and that it is not up to the desire of the person (John 1:13). God is the one who ordains the Christian into forgiveness, “ and as many as had been appointed to eternal life believed” (Acts 13:48). Also, “For whom He foreknew, He also predestined to become conformed to the image of His Son, that He might be the first-born among many brethren; and whom He predestined, these he also called; and who He called, these He also justified; and whom He justified, these He also glorified” (Rom. 8:29-30). Further verses to examine are Eph. 1:4,11; Rom. 9.