Question

A pizza parlor has a choice of

8

toppings for its pizzas. From these

8

toppings, how many different

6

-topping pizzas can be ordered? Assume that the order in which the toppings are listed does not matter.

Answer 1

We have to select 6 topping from the 8 toppings for pizzas.

Here the order is not matter.

So we have to use here Combination.

We know the combination formula :

ⁿC_x = n ! / [ ( n - r )! * r! ]

We get ⁸C₆ = 8 ! / [ 2! *6! ]

= 40320 / [ 720 * 2 ]

= 28

So total 28 ways different 6 topping pizzas can be ordered.

Hope this will help you. Thank you :)