The teams in the NBA chooses new players each year in a process called "the draft". Each year there are n teams ti,.., tn and 2n players. The league wants to change the rules of the draft so that each team will give a list of players that it is willing to get and some algorith w match 2 players for each team, out of the list of players the team is willing to get. For a team t let us denote by A, the set of players that the team is willing to get. Show that a neccssary and sufficient condition for it to be possible to give cach team 2 players out of the list of players it is willing to get, is that: iEI for any subset I C 11,..., n The teams in the NBA chooses new players each year in a process called "the draft". Each year there are n teams ti,.., tn and 2n players. The league wants to change the rules of the draft so that each team will give a list of players that it is willing to get and some algorith w match 2 players for each team, out of the list of players the team is willing to get. For a team t let us denote by A, the set of players that the team is willing to get. Show that a neccssary and sufficient condition for it to be possible to give cach team 2 players out of the list of players it is willing to get, is that: iEI for any subset I C 11,..., n