we know that
case 1)
Input-----> [Colton]
Outputs-----> [chess, checkers]
case 2)
Input-----> [Bryan]
Outputs-----> [battleship]
case 3)
Input-----> [Angela]
Outputs-----> [twister,scrabble]
case 4)
Input-----> [Jasmin]
Outputs-----> [twister,monopoly,battleship ]
case 5)
Input-----> [Thomas]
Outputs-----> [checkers]
case 6)
Input-----> [Rachel]
Outputs-----> [scrabble]
case 7)
see the mapping diagram in the attached figure
case 8)
we know that
Part 8 a)
[Colton]------> [chess, checkers]
[Thomas]-----> [checkers]
so
[Colton,Thomas]-------> [checkers]
Part 8 b)
[Bryan]------> [battleship]
[Jasmin] -----> [twister,monopoly,battleship ]
so
[Bryan,Jasmin]-------> [battleship]
Part 8 c)
[Angela]-----> [twister,scrabble]
[Jasmin] -----> [twister,monopoly,battleship ]
so
[Angela,Jasmin]-------> [twister]
Part 8 d)
[Angela]-----> [twister,scrabble]
[Rachel] -----> [scrabble ]
so
[Angela,Rachel]-------> [scrabble]