3. The students' council is having pizza at their next meeting. There are 20 council members, 6 of whom are vegetarian. A committee of 3 will order six pizzas from a pizza shop that has a special price for large pizzas with up to three toppings. The shop offers ten different toppings. a) How many different pizza committees can the council choose if there must be at least one vegetarian and one non-vegetarian on the committee?

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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3. The students' council is having pizza at their next meeting. There are 20
council members, 6 of whom are vegetarian. A committee of 3 will order six
pizzas from a pizza shop that has a special price for large pizzas with up to
three toppings. The shop offers ten different toppings.
a) How many different pizza committees can the council choose if there must
be at least one vegetarian and one non-vegetarian on the committee?
Transcribed Image Text:3. The students' council is having pizza at their next meeting. There are 20 council members, 6 of whom are vegetarian. A committee of 3 will order six pizzas from a pizza shop that has a special price for large pizzas with up to three toppings. The shop offers ten different toppings. a) How many different pizza committees can the council choose if there must be at least one vegetarian and one non-vegetarian on the committee?
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