A french restaurant offers a menu consisting of three different appetizers, two different soups, four different salads, nine different main courses, and five different desserts. a.) A fixed price lunch meal consists of a choice of an appetizer, a salad and a main course. How many different fixed price lunch meals are possible? b.) A fixed-price dinner meal consists of a choice of an appetizer, a choice of a soup or a salad, a choice of a main course and a dessert. How many different fixed-price dinners are possible?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
A french restaurant offers a menu consisting of three different appetizers, two different soups, four different salads, nine different main courses, and five different desserts.
a.) A fixed price lunch meal consists of a choice of an appetizer, a salad and a main course. How many different fixed price lunch meals are possible?
b.) A fixed-price dinner meal consists of a choice of an appetizer, a choice of a soup or a salad, a choice of a main course and a dessert. How many different fixed-price dinners are possible?
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