Election of those who do, or will, believe, is by God's choosing and act of grace. Whether the human also chooses is not in question, but that his choice is effectual concerning the faith that has been formed within him is in question, being denied.
If the antithesis of Election of believers is true, (and I'm not saying it is), and God has elected certain individuals to damnation, then whether the human also chooses, is also not in question. According to John 3:18, (among other passages), they are already condemned, and they choose consistent with that condemnation, always, rejecting God.