Number of Pizza combinations

[menupot]

Hi

I am trying to work out how many possible combination that a pizza can have.

there are 4 sizes
there are 30 toppings
each topping can be added 1, 2 or 3 times
each topping can either be added to the whole pizza, just side A, or just side B, or any combination
i have 4 base types
I have 4 crust types
I have 3 sauce types


Thanks


Mark

 

[Deleted member 4993]

Hi

I am trying to work out how many possible combination that a pizza can have.

there are 4 sizes
there are 30 toppings
each topping can be added 1, 2 or 3 times
each topping can either be added to the whole pizza, just side A, or just side B, or any combination
i have 4 base types
I have 4 crust types
I have 3 sauce types


Thanks


Mark

If you had choice of only 4 sizes (all other choices restricted to 1 for the time being) - how many types of pizza would you have?

If you had choice of only 4 sizes and 4 base types (all other choices restricted to 1 for the time being) - how many types of pizza would you have?

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.

 

[cordoba]

What d'heck is a pizza SIDE?

I think you can put toppings just on half the pizza, but you're right, if you're counting up combinations it gets tricky -- if you only put one topping on, and it's only on one half, then half A or half B doesn't matter. But if you have 2 toppings, each only on half, then both on the same half/side or one on each result in different pizzas.

 

[buddy]

topping

what is a pizza topping?