live Garden has a pasta special for $9.99. You can choose one pasta, one sauce, and one topping. The possible pastas, sauces, and toppings are listed. Pasta: Rigatoni, Spaghetti, Angel Hair, Whole Grain, Linguine, Gluten-Free Rotini Sauces: Traditional Marinara, Five Cheese Marinara, Traditional Meat Sauce, Creamy Pesto, Creamy Mushroom Topping: Meatballs, Italian Sausage, Grilled Chicken, Crispy Chicken Fritta, Sautéed Shrimp, Garden Veggies 1) What is the probability that the customer will order Pasta: Angel Hair Sauce: Five Cheese Marinara Topping: Crispy Chicken Fritta 2) What is the probability that the customer will not order Pasta: Angel Hair Sauce: Five Cheese Marinara Topping: Crispy Chicken Fritta
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.
Olive Garden has a pasta special for $9.99. You can choose one pasta, one
sauce, and one topping. The possible pastas, sauces, and toppings are listed.
Pasta: Rigatoni, Spaghetti, Angel Hair, Whole Grain, Linguine, Gluten-Free Rotini
Sauces: Traditional Marinara, Five Cheese Marinara, Traditional Meat Sauce, Creamy Pesto,
Creamy Mushroom
Topping: Meatballs, Italian Sausage, Grilled Chicken, Crispy Chicken Fritta, Sautéed Shrimp,
Garden Veggies
1) What is the
Pasta: Angel Hair
Sauce: Five Cheese Marinara
Topping: Crispy Chicken Fritta
2) What is the probability that the customer will not order
Pasta: Angel Hair
Sauce: Five Cheese Marinara
Topping: Crispy Chicken Fritta
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