Emma’s pizza shop has 21 different toppings, three kinds of sauce, and three kinds of cheese. Assume that someone can order any combination of sauces and cheeses (including none), but must order exactly two different toppings. 1. How many different pizzas can one create? Explain. 2. If three people are sharing a pizza, and each can order their third as in 10.1, then how many different pizzas can they order? Explain carefully.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Emma’s pizza shop has 21 different toppings, three kinds of sauce, and three kinds of
cheese. Assume that someone can order any combination of sauces and cheeses
(including none), but must order exactly two different toppings.
1. How many different pizzas can one create? Explain.
2. If three people are sharing a pizza, and each can order their third as in 10.1, then
how many different pizzas can they order? Explain carefully.

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