SOLUTION: A Pizza Place offer 10 different toppings. 1. How many different pizza are possible? 2. How many different 3 topping pizza are available? 3. You diciding to oreder up to 4 to

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Question 118523: A Pizza Place offer 10 different toppings.
1. How many different pizza are possible?
2. How many different 3 topping pizza are available?
3. You diciding to oreder up to 4 topping on your pizza, How many possible
pizza are there?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A Pizza Place offer 10 different toppings.
1. How many different pizza are possible?
This is binomial; you either have or do not have each topping.
Ans: 2^10 = 1024 different pizzas including the one with no toppings.
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2. How many different 3 topping pizza are available?
This is a combination problem.
Ans: 10C3 = [10*9*8]/[1*2*3] = 120
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3. You decided to order up to 4 topping on your pizza, How many possible
pizza are there?
0 toppings: 10C0 = 1 way
1 toppings: 10C1 = 10 ways
2 toppings: 10C2 = 45 ways
3 toppings: 10C3 = 120 ways
4 toppings: 210C4 =210 ways
Total: 386 ways
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Cheers,
Stan H.