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.

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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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

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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