Problem of the Week (Math Extra Credit)

Here it is: 

Kim goes to the Pizza Palace every day and orders a pizza with one topping. 
He buys a
pizza with a different topping and crust each day.
How many days will it take for Kim to try all possible pizza combinations 
with one topping? 
Show all your work. Explain how you got your answer and why you took the steps
you did to solve the problem.
 
Pizza Palace Toppings: Cheese, Meat, Olives, Green Pepper, Onion, Mushroom

Pizza Palace Types of Crust: Original, Deep Dish, Thin & Crispy, Sourdough



*Please show all work neatly for credit. This problem is due to Miss DeFeudis
no later than Friday, December 21st. Happy Solving!


Last Week's Answer:  

The number of children = number of different combinations of
     two different flavors.


        1,2     2,3     3,4     4,5     5,6     6,7     7,8     8,9
        1,3     2,4     3,5     4,6     5,7     6,8     7,9
        1,4     2,5     3,6     4,7     5,8     6,9
        1,5     2,6     3,7     4,8     5,9
        1,6     2,7     3,8     4,9
        1,7     2,8     3,9
        1,8     2,9
        1,9


               36 = 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1

               There are 36 children.



Congratulations to last week's Problem of the Week Solvers:

Calum
Seth