Task# Sitting across from Each Other

Illustrative MathematicsVaries

The purpose of this task is for students to compute the theoretical probability of a seating configuration. There are 24 possible configurations of the four friends at the table in this problem. Students could draw all 24 configurations to solve the problem but this is time consuming and so they should be encouraged to look for a more systematic method. Two systematic ways of counting are presented in the solutions below.