1.There are five paths that a hunter may enter a forest. There are 3 possible paths a hunter may use to exit the same forest. a) Draw a simple diagram (use the drawing tools available in word) that represents all the different possibilities a hunter has to enter AND exit the forest. b) In how many ways can a hunter enter AND exit the forest? c) In how many ways can two hunters enter and exit the forest if they must each enter and exit on different paths? 2.The president of a company has to wear a dress shirt, tie and dress pants to work every day. The president has four different dress shirts, three different ties and two different pairs of dress pants. a) Draw a tree diagram that represents all the different outfits the president can wear. b) Represent the sample space as a list of all the different outfits. c) How many possible outfits can the president wear that consist of one dress shirt, one pair of pants and one tie