Asked by Anonymous
A pizza can be made with any of the following toppings: cheese, pepperoni, sausage, mushrooms, anchovies, green peppers, or olives. How many different three-topping pizzas can be made? Doubling of any topping is not allowed.
Answers
Answered by
Kaili
have the same problem did you figure it out ?
Answered by
laura
You'll need to use a factorial for this. You have 7 options, and are choosing 3 without replacement. Therefore, use a nCr combination. n = 7 toppings, r = 3 chosen.
The equation looks like this: (n!)/(r!*(n-r)!) = (7!)/(3!(7-3)!)
Calculate this out and you find 35 different 3-topping pizzas can be made.
The equation looks like this: (n!)/(r!*(n-r)!) = (7!)/(3!(7-3)!)
Calculate this out and you find 35 different 3-topping pizzas can be made.
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