You can pick an appetizer from a) Onion Rings, b) Pretzels, c) Buffalo Chicken Wings. Then you can pick the main course from a) Mac&Cheese, b) Beef Lasagna or c) Chicken Alfredo. And finally, you get to pick either a) Chocolate Sundae or b) Fabulous Fudge as dessert. Assume that each appetizer is equally likely to be picked, similarly each main course and each dessert. If you pick one appetizer, one main course, and one dessert at random, how many possibilities are there and what is the probability that your meal will be vegetarian? (hint - dishes with 'beef' or 'chicken' in the name are not vegetarian, the others are).
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.
You can pick an appetizer from a) Onion Rings, b) Pretzels, c) Buffalo Chicken Wings. Then you can pick the main course from a) Mac&Cheese, b) Beef Lasagna or c) Chicken Alfredo. And finally, you get to pick either a) Chocolate Sundae or b) Fabulous Fudge as dessert.
Assume that each appetizer is equally likely to be picked, similarly each main course and each dessert.
If you pick one appetizer, one main course, and one dessert at random, how many possibilities are there and what is the
(hint - dishes with 'beef' or 'chicken' in the name are not vegetarian, the others are).
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