Question

How many different varieties of pizza can be made if you have the following choice: small, medium, or large size; thin and crispy, hand-tossed or pan crust; and 12 toppings (cheese is automatic) from which you may select from 0 to 12?

a) 2 * 3C3
b) 2 * 4C3
c) 2 * 5C3
d) 2 * 6C3

Answer 1

There will be 36,864 different varieties.

Explanation:

As given we have following options:

Size: small, medium, or large (3)

Style: thin and crispy, hand-tossed, or pan crust (3)

Toppings: 12 choices

Lets say the order of toppings does not matter.

So, number of ways of topping =
`2^(12)`

Hence, total number of different pizzas will be :

`3*3*2^(12)`

= 36864 different varieties.