A.) An experiment requires a sequence of three steps. The first step can result in five possible outcomes, the second in six possible outcomes, and the third in two possible outcomes. What is the total number of outcomes possible?
B.) A ternary digit is either 0, 1, or 2. How many sequences of ten ternary digits are possible containing a single 2 and a single 0?
C.) The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are four appetizers, two soups, five main courses, and four desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?
D.)A bag contains three red marbles, three green ones, one lavender one, three yellows, and five orange marbles. HINT [See Example 7.]
How many sets of four marbles include one of each color other than lavender?