Monique, Nelson, Olivia, Patrick, Queenie, Rosa, Sharim, Theo, and Una plan to set out in teams of three to canvass a neighborhood for a polling organization. They intend to repeat this procedure for a total of four consecutive days (counting the first). They wish to arrange the teams so that no two people will be in the same threesome on more than one day. Can you help them? Solution Monique = A Nelson = B Olivia = C Patrick = D Queenie = E Rosa = F Sharim = G Theo = H Una = I Day 1: Group I = ABC, Group II = DEF, Group II = GHI Day 2: Group I = AFG, Group II = BDH, Group III = CEI Day 3: Group I = AEH, Group II = BFI, Group III = CDG Day 4: Group I = ADI, Group II = BEG, Group III = CFH.

1. Monique, Nelson, Olivia, Patrick, Queenie, Rosa, Sharim, Theo, and Una plan to set out in teams
of three to canvass a neighborhood for a polling organization. They intend to repeat this
procedure for a total of four consecutive days (counting the first). They wish to arrange the teams
so that no two people will be in the same threesome on more than one day. Can you help them?
Solution
Monique = A Nelson = B Olivia = C Patrick = D Queenie = E Rosa = F Sharim = G
Theo = H Una = I Day 1: Group I = ABC, Group II = DEF, Group II = GHI Day 2: Group I =
AFG, Group II = BDH, Group III = CEI Day 3: Group I = AEH, Group II = BFI, Group III =
CDG Day 4: Group I = ADI, Group II = BEG, Group III = CFH