In the first category, the players who participate in the chess game are selected from three people who can play chess and can't play Go. A chess player has three paths to choose from, and then a chess player in Go has four paths to choose from. There are 3*4= 12 options for this category.

In the second category, the players who take part in the chess match are selected from two people who can play chess and Go. Chess players have two choices. At this time, chess players have only three choices, and this category has 2*3=6 choices.

There are 18 two * * * selection methods.