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9. (2 points each) A cooler contains 3 diet sodas (all of different brands) and 4 regular sodas (all of different brands). (a) In how many ways can 2 sodas be selected from the cooler? (b) In how many ways can 2 diet or 2 regular sodas be selected from the cooler? (c) In how many ways can 2 sodas be selected from the cooler, where at least one of the selected sodas is diet? (d) Suppose someone takes all of the sodas out of the cooler and arranges them in a row. How many different arrangements are possible? (e) Suppose instead that someone randomly selects just 5 of the sodas hour the cooler and arranges only those 5 in a row. How many different arrangements are possible? 10. Suppose x is a positive real numben Consider the statement below. Vx(xx2