A restaurant offers the following limited lunch menu. Turkey, Spaghetti, Meatloaf, Shrimp, Hamburger Peas, Squash, Cauliflower, Eggplant Main Courses Vegetables Beverages Coffee, Tea, Milk, Soda Desserts Cake, Pie, Sherbet If one item is selected from each of the four groups, in how many ways can a meal be ordered? There are ways a meal can be ordered.
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.
According to provide for ordering a meal, the total number of ways can a meal be ordered is given below:
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