Question: 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

A.) An experiment requires a sequence of three steps. The first step can result infivepossible outcomes, the second insixpossible outcomes, and the third intwopossible outcomes. What is the total number of outcomes possible?

B.) A ternary digit is either 0, 1, or 2. How many sequences oftenternary digits are possible containing a single2and a single0?

C.) The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There arefourappetizers,twosoups,fivemain courses, andfourdesserts. 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 containsthreered marbles,threegreen ones, one lavender one,threeyellows, andfiveorange marbles. HINT [See Example 7.]

How many sets of four marbles include one of each color other than lavender?

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