I have been working for my LSAT's from the Logic Games Bible lately and found something interesting I thought I would share. When a problem discusses linearity [arranging or ordering given variables into fixed positions] and grouping [which sets rules as to which variables can go together and which cannot or which variables can be chosen and which cannot be chosen with a given variable], do you first order the variables in accordance with the linear rules or group with the grouping rules?
The answer to that is one has to group before arranging the variables. Taking an example from the book – if I win ten tickets to the Super Bowl I don't start off by putting people in the second, the fifth or the tenth seat. Instead I would first select the group that I intend to invite and then arrange if necessary. Thus, one always groups before starting out with the linear component of the game.
Explaining such an abstract principles with reference to a simple example is really, really smart.