SOLUTION: A pizza shop offers 3 different toppings and 2 types of crust. How many possible types of pizza can you order if each pizza can have one, two, or three differnt toppings? I got

Question 433152: A pizza shop offers 3 different toppings and 2 types of crust. How many possible types of pizza can you order if each pizza can have one, two, or three differnt toppings?
I got 78, but I think that is too many, because is pepperoni/ sausage the same as sausage/pepperoni????
I worked it out the long way (tree) and got 42 ???
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A pizza shop offers 3 different toppings and 2 types of crust. How many possible types of pizza can you order if each pizza can have one, two, or three different toppings?
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# of 1 topping pizza: 2*3 = 6
# of 2 topping pizzas: 2*3C2 = 2*3 = 6
I of 3 topping pizzas: 2*3C2 = 3*1 = 3
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Total number: 6+6+3 = 15
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cheers,
Stan H.
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

I get 14. For each type of crust, there are three ways to have one topping (T1, T2, or T3), three ways to have two toppings (T1&T2, T1&T3, T2&T3), and only one way to have all three toppings (T1&T23&T3) (if order doesn't matter). 3 plus 3 plus 1 = 7 for each of two types of crust. Ergo, 14

John

My calculator said it, I believe it, that settles it

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