Question

A pizza parlor offers a choice of 12 different toppings. How many 4-topping pizzas are possible? (no double orders of toppings are allowed)

In this situation, does the order of toppings matter? Yes/No?

There are ____ possible 4-topping pizzas.

Answer 1

9514 1404 393

Answer:

No; 495

Explanation:

For many folks, the order of application of toppings will not matter. For those folks, the number of possible 4-topping pizzas is

C(12,4) = 495 = 12!/(8!×4!)

There are 495 possible 4-topping pizzas.