Eldred G. Smith notes that descendants of Cain are not eligible to receive priesthood.
Eldred G. Smith, Conference Report (April 1952): 39
Now we know that some of the inhabitants of the earth are not descended of Israel. We know that some of the inhabitants of the earth who join the Church are not descendants of Israel. It is given to us that the descendants of Shem and Japheth, sons of Noah, if they receive the gospel, are entitled to the priesthood. Only the sons of Cain are not entitled to the priesthood, and you can read why in the Pearl of Great Price. So all the descendants of Shem and Japheth, as they accept the gospel of Jesus Christ, are entitled to the blessings of Israel, because that was the promise given to Abraham, that through him all the families of the earth should be blessed.