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Help on math challenge1B(c) amc8/mathcounts winter 2017-2018 counting and probability

 
 
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Help on math challenge1B(c) amc8/mathcounts winter 2017-2018 counting and probability
by Weston Zong - Monday, 15 January 2018, 9:01 AM
 

for 5.23 A and B, It says they cannot share multiple toppings, does that mean they can or cannot share 1 topping?


 
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Re: Help on math challenge1B(c) amc8/mathcounts winter 2017-2018 counting and probability
by David Reynoso - Tuesday, 16 January 2018, 10:13 AM
 

On part (a) the pizza must have 3 different toppings. On part (b) the pizza must have 3 toppings, but it is fine if they are repeated (say chicken, more chicken, and onions).

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Re: Help on math challenge1B(c) amc8/mathcounts winter 2017-2018 counting and probability
by Weston Zong - Tuesday, 16 January 2018, 4:24 PM
 

I meant that can the two pizzas share one topping? Not if you can repeat topping on the same pizza.

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Re: Help on math challenge1B(c) amc8/mathcounts winter 2017-2018 counting and probability
by David Reynoso - Wednesday, 17 January 2018, 10:00 AM
 

The pizzas from part (a) and part (b) are independent, so yes, you could repeat toppings. In each part you want to figure out how many ways to select the toppings of one pizza.