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: (??)=?!?!(?−?)!(nk)=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:

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pizza (python)
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:

    (??)=?!?!(?−?)!(nk)=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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