1. The passengers of Oceanic Airways flight 518 have crashed on what appears to be a deserted island in the South Pacific. 47 passengers have survived. a. The passengers organize a search party to climb to the top of the island to try to send a distress signal. How many different 6-member search parties can be sent? (4pt) b. Before they send the search party, the castaways decide they should appoint a leader of the search team. How many different search teams can be made up of one leader and 5 other members? (3pt) (3. Next, the castaways decide to delegate 10 pe0ple to forage for food (there's suspicion that wild boar roam the woods). How many different ways can the castaways be assigned to one search team leader, 5 other search team members, 10 foragers, and the remainder staying on the beach with no specific task? (3pt)