How do they pick Ryder Cup matches?

Answer 1

For the Foursomes and Fourballs on the Friday and Saturday, 4 teams of 2 golfers are selected from each squad of 12. The captain then selects the order in which he will put them out, both captains do this and submit their starting sheet. Then the captains announce it, and whoever the European captain selected first will play the USA captains' first selction. For the Sunday singles, the captains will order their players 1-12 and whoever the USA chose as no.1 will play the European no.1.

Answer 2

In the singles, which is the final round. Each captain submits a list of players in order of how they shall play, 1-12. Then European 1 plays USA 1, European 2 plays USA 2 and so on.