8. Pizza Mario owns a pizzeria. Mario makes all of his pizzas from 10 different ingredients, using 3 ingredients on each pizza. Mario's cousin Luigi owns a pizzeria as well. Luigi makes all his pizzas from 9 ingredients, using 4 ingredients on each pizza. Mario and Luigi have made a bet: Mario believes that customers can order a larger selection of pizzas in his pizzeria than they can order in Luigi's pizzeria. Use functions for this assignment. • Implement a factorial() function yourself (do not use the one from the math module) • When choosing k items fromn possible items, the number of possibilities can be obtained using the following formula: k!(n=k)! %3D Make a function called choose with two parameters n and k, that implements the above formula. • Write a program that calculates the number of pizzas Mario and Luigi can make. The outcome should look like this: Mario can make 120 pizzas. Luigi can make 126 pizzas. Luigi has won the bet.

8. Pizza Mario owns a pizzeria. Mario makes all of his pizzas from 10 different ingredients, using 3 ingredients on each pizza. Mario's cousin Luigi owns a pizzeria as well. Luigi makes all his pizzas from 9 ingredients, using 4 ingredients on each pizza. Mario and Luigi have made a bet: Mario believes that customers can order a larger selection of pizzas in his pizzeria than they can order in Luigi's pizzeria. Use functions for this assignment. • Implement a factorial() function yourself (do not use the one from the math module) • When choosing k items fromn possible items, the number of possibilities can be obtained using the following formula: k!(n=k)! %3D Make a function called choose with two parameters n and k, that implements the above formula. • Write a program that calculates the number of pizzas Mario and Luigi can make. The outcome should look like this: Mario can make 120 pizzas. Luigi can make 126 pizzas. Luigi has won the bet.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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8. Pizza
Mario owns a pizzeria. Mario makes all of his pizzas from 10 different ingredients, using 3 ingredients on each pizza. Mario's cousin Luigi owns a pizzeria
as well. Luigi makes all his pizzas from 9 ingredients, using 4 ingredients on each pizza. Mario and Luigi have made a bet: Mario believes that customers
can order a larger selection of pizzas in his pizzeria than they can order in Luigi's pizzeria. Use functions for this assignment.
Implement a factorial() function yourself (do not use the one from the math module)
• When choosing k items from n possible items, the number of possibilities can be obtained using the following formula:
()
n!
k!(n-k)!
Make a function called choose with two parameters n and k, that implements the above formula.
• Write a program that calculates the number of pizzas Mario and Luigi can make. The outcome should look like this:
Mario can make 120 pizzas.
Luigi can make 126 pizzas.
Luigi has won the bet.

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