13:46 Then Paul and Barnabas waxed bold, and said, It was necessary that the word of God should first have been spoken to you:(You Jews) but seeing ye put it from you, and judge yourselves unworthy of everlasting life, lo, we turn to the Gentiles. For so hath the Lord commanded us, I have set thee to be a light of the Gentiles, that thou shouldest be for salvation unto the ends of the earth. And when the Gentiles heard this, they were glad, and glorified the word of the Lord: and as many as were ordained to eternal life believed.
Who believed?
Acts 15:14 Simeon hath declared how God at the first did visit the Gentiles, to take out of them a people for his name.
Did he, take out of, or did he have the word preached and who ever believed God let on the boat?
You fail to recognize that we are elect according to the foreknowledge of the Father. The Father knew who among the Gentiles would believe. These are the ones taken out.
What was ordained in Acts 13:48 is that Paul would be a light to the Gentiles, and those who believed would be saved. Acts 13:48 is simply confirming that those ordained to eternal life believed. It is not saying they were ordained to believe in the sense they were compelled to believe, but it IS saying they were ordained to believe in the sense that God sent the gospel to these persons foreknowing they would believe.
You can't exclude foreknowledge from the equation, we are elect according to foreknowledge.