Coach Krishnan is trying to put together a team of four players for a tennis tournament. He has seven players available: males – Arkinso, Barlo and Charles, and females – Monika, Nandini, Omni and Pikasoni. All players are of equal ability. There must be at least two males on the team and all players must be able to play with each other.
• Barlo cannot play with Monika.
• Charles cannot play with Pkasoni.
• Monika cannot play with Omni.
Which statements must be false?
1. Barlo and Pikasoni are never selected together
2. Charles and Omni are never selected together
3. Charles and Nandini are never selected together.