1. (5 points] Five businessmen meet at a convention. How many handshakes are exchanged if each shakes hands with all the others? 2. (5 points) 5 performers are to present their comedy acts on a weekend evening at a comedy club. One of the performers insists on being the last stand-up comic of the evening. If this performers request is granted, how many different ways are there to schedule the appearances? 3. (10 points) A well-shufed 52-eard deck is distributed to 4 players such that each player gets same number of cards. Find the probability that each of the players gets an ace. 4. (10 points} Suppose that two chess players had played nanerous games and it ems determined that the probability that Player A would win is 0.40, the probability that Player B would win is 0.35, and the probability that the game would end in a draw is 0.25. If these two chess players play 12 games, what is the probability that Player A would win 7 games, Player B would win 2 games, and the rerrulining 3 games would be drawn