Your favorite pizza restaurant has 6 different meat toppings and 12 different vegetable toppings. You decide to buy Ms. Roof a pizza to thank her for all her hard work this year. Ms. Roof prefers her pizza to have 2 meat toppings and 3 vegetable toppings. How many different types of pizza could you order?
Your favorite pizza restaurant has 6 different meat toppings and 12 different vegetable toppings. You decide to buy Ms. Roof a pizza to thank her for all her hard work this year. Ms. Roof prefers her pizza to have 2 meat toppings and 3 vegetable toppings. How many different types of pizza could you order?
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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Question
Your favorite pizza restaurant has 6 different meat toppings and 12 different vegetable toppings. You decide to buy Ms. Roof a pizza to thank her for all her hard work this year. Ms. Roof prefers her pizza to have 2 meat toppings and 3 vegetable toppings. How many different types of pizza could you order?
Expert Solution
Step 1
It is given that there are 6 different meat toppings and 12 different vegetable toppings.
Also, roof prefers only 2 meat toppings and 3 vegetable toppings.
From 6 meat toppings, 2 meat toppings can be selected in 6C2 ways.
From 12 vegetable toppings, 3 vegetable toppings can be selected in 12C3 ways.
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