There are 6 different toppings available at a pizza parlor: pepperoni, mushrooms, olives, and onions. A customer requests a three-topping pizza but insists on getting two of the same kind. Find the number of different pizzas the customer can order.
Given that,
There are 5 different toppings available at a pizza parlor such as pepperoni, mushrooms, olives, and onions.
Since the customer wants two of the same type of topping, we have 5 options from which to choose: pepperoni, mushrooms, olives, onions, and peppers.
After deciding on the topping type, we must decide which two of the three toppings will be of that type.
There are three options for the first topping (out of three), and only two options for the second topping (since they both must be the same kind). There are 4 options for the third topping, which can be any of the remaining 4 types.
The number of ways to choose the type of topping = 5
The number of ways to choose the first topping = 2
The number of ways to choose the second topping = 3
The number of ways to choose the third topping = 4
Thus, the total number of different pizzas the customer can order is given by,
Therefore, the total number of ways the pizzas can be delivered in 120 ways.
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