Play time. Each player must draw a card during their turn from either the draw or discard piles, and they must also discard a card from thslots casheir hand onto the discard pile. The object of the game is to accumulate points by arranging your cards into sets and runs & placing them on the table. Placing the Cards. Once a player has made a set or run with their cards, they can place them down on the table in Rummy 51.