A restaurant offers a $12 dinner special with seven appetizer options, 12 choices for an entree, and 6 choices for a dessert. How many different meals are available when you select an appetizer, an entree,and a dessert?
If the first event occurs in m ways and the second event occurs in n ways, then two events occur in a sequence of mn ways, according to the basic counting principle.
There are 7 choices of appetizer, 12 choices of entrée, and 6 choices of dessert.
Hence, total number of different meals is,
Thus, 504 different means are available to select an appetizer, an entrée, and a dessert.
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