write out the expression for calculating the number of combinations and then compute the final result. i. Josephat (he/they) loves visiting amusement parks. He plans to visit 5 states and attend one amusement park in each state. In the order of the states they plan to visit: Massachusetts has 5 amusement parks. Michigan has 9 amusement parks. Montana has 3 amusement parks. Oregon has 4 amusement parks. New York has a whopping 28 amusement parks. How many possible combinations of amusement parks can he visit on their trip? ii. Josephay has chosen the parks they will visit. Josephat is now planning how he will get to each state. Lucky for them, he lives in Massachusetts. Looking at possible travel plans, he finds the following choices: There are 3 flights and 2 trains from Massachusetts to Michigan. There are 5 flights and 1 bus line from Michigan to Montana. There are 2 bus lines and 4 flights from Montana to Oregon. . There are 4 flights, 3 train rides, and 2 bus lines from Oregon to New York. To maximize excitement, Josephat wants to make sure they do not ride the same type of transportation twice in a row. How many possible ways can Josephat travel to all 5 states? iii. From the options Josephat has to get from Oregon to New York, Josephat decides to take the Discrete Bus Line. Now Josephat must decide on the remainder of the trip: from Mas- sachusetts to Oregon. They also decide to ignore their previous restriction. Furthermore, he also wants to take at most 2 flights in this trip. How many possible ways can Josephat now make this trip?