+21 At Pete's Pizza Palace there are four different toppings you can get on a pizza (all pizzas come with cheese and sauce): Onions, Strawberries, Pepperoni, and Chocolate. How many different pizzas can you order at Pete's? You can have any combination of the toppings you want including no toppings or all four toppings.
+1253 To find the number of toppings, we can use some counting.
0 toppings = 1 way
1 topping = 4 ways
2 toppings = 6 ways
3 toppings = 4 ways
4 toppings = 1 way.
Therefore, you can do it 16 ways. (Chocolate is an interesting topping!)
You are very welcome!
:P
+128408 Number of pizzas with no toppings = 4C0 = 1
Number of pizzas with one topping = 4C1 = 4
Number of pizzas with two toppings = 4C2 = 6
Number of pizzas with 3 toppings = 4C3 = 4
Number of pizzaswith all 4 toppings = 4C4 = 1
So...the number of possible pizzas = 1 + 4 + 6 + 4 + 1 = 16
+26367 At Pete's Pizza Palace there are four different toppings you can get on a pizza
(all pizzas come with cheese and sauce):
Onions, Strawberries, Pepperoni, and Chocolate.
How many different pizzas can you order at Pete's?
You can have any combination of the toppings you want including no toppings or all four toppings.
\(\begin{array}{|c|cccc|} \hline \text{binary} & \text{Onions} & \text{Strawberries} & \text{Pepperoni} & \text{Chocolate} \\ \hline 0 & 0 & 0& 0& 0 & \\ \hline 1 & 0 & 0& 0& 1 & \\ \hline 2 & 0 & 0& 1& 0 & \\ \hline 3 & 0 & 0& 1& 1 & \\ \hline 4 & 0 & 1& 0& 0 & \\ \hline 5 & 0 & 1& 0& 1 & \\ \hline 6 & 0 & 1& 1& 0 & \\ \hline 7 & 0 & 1& 1& 1 & \\ \hline 8 & 1 & 0& 0& 0 & \\ \hline 9 & 1 & 0& 0& 1 & \\ \hline 10& 1 & 0& 1& 0 & \\ \hline 11& 1 & 0& 1& 1 & \\ \hline 12& 1 & 1& 0& 0 & \\ \hline 13& 1 & 1& 0& 1 & \\ \hline 14& 1 & 1& 1& 0 & \\ \hline 15& 1 & 1& 1& 1 & \\ \hline \end{array}\)
There are 16 different pizzas
