Question

a pizza shop offers 5 toppings: pepperoni, mushrooms, onions, sausage, and green peppers. how many different 2 - topping pizzas can be made?
$_{5}c_{2} = ?$
hint:

Explanation:

Step1: Recall combination formula

The combination formula is $C(n,k)=\frac{n!}{k!(n-k)!}$, where $n=5$ (total toppings) and $k=2$ (toppings per pizza).

Step2: Calculate factorial values

$5!=5×4×3×2×1=120$, $2!=2×1=2$, $(5-2)!=3!=6$.

Step3: Compute the result

$C(5,2)=\frac{120}{2×6}=\frac{120}{12}=10$.

Answer:

10