I run a pizza shop and I want to know how many different combinations of pizza I can do?

Question

We have 2 Sizes
We have 3 Types of base sauces
5 different types of cheese
20 different toppings

They can only select 1 size and 1 base sauce ( tomato, Bbq or 1/2 & 1/2 mix ),  they can select unto 5 different cheese options ( one is to have no cheese ) , they can select upto 20 different toppings, they can select one topping or 19 ( the 20th option is no topping )

I am struggling to work out how many different combination there can be.  Can someone help  please?

Answer

It is best to go to your local pizzeria and find inspiration

Answer

..........19
2*3*5*&sum;(19Cx)=15728640
.........x=0

Ignore the periods before the 19 and the x; I needed the spacing for the formula. This formula stands for 2 size options times 3 sauce options times 5 cheese options times the sum of all combinations of toppings when the total number of toppings available is 19 and the range of allowed toppings is from 0 to 19. The result from that is nearly 16 million. You certainly have many options for your customers.

I run a pizza shop and I want to know how many different combinations of pizza I can do?

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