Checkpoint: Permutations and Combinations Solutions

Roma Pizza’s most popular pizza has three toppings of your choice. Possible topping choices include green peppers, extra cheese, pepperoni, olives, sausage, onions, anchovies, and pineapple. How many pizzas can be created if any three toppings create a mouthwatering pizza?

nCr8, 3=8!3!83!=8!3! 5!=8·7·6·5!3·2·15!nCr8, 3=56

Roma Pizza can make 56 different pizzas with three toppings each.

Note

Q: Is this a permutation or a combination? Explain.

A: This is a combination because it does not matter how you order the toppings; they will all be on the pizza.

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