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  • A pizza restaurant offers 5 different toppings and 3 different crusts. If a customer wants to order a pizza with 2 toppings and 1 crust, how many different pizza combinations are possible

A pizza restaurant offers 5 different toppings and 3 different crusts. If a customer wants to order a pizza with 2 toppings and 1 crust, how many different pizza combinations are possible?

Option: 1

30
 


Option: 2

32


Option: 3

28

 


Option: 4

25


Answers (1)

best_answer

To calculate the total number of possible combinations, we can use the multiplication principle of counting.

First, we need to choose 2 toppings out of 5. We can do this in { }^{\wedge} 5 \mathrm{C} 2 ways, which is:

{ }^5 C_2=\frac{5 !}{2 !(5-2) !}=10
Next, we need to choose 1 crust out of 3 . We can do this in { }^{\wedge} 3 \mathrm{C} 1 ways, which is:
{ }^3 C_1=\frac{3 !}{1 !(3-1) !}=3
Therefore, the total number of possible pizza combinations is:
\begin{aligned} & =10 \times 3 \\ & =30 \end{aligned}

So there are 30 different ways a customer can order a pizza with 2 toppings and 1 crust.

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