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Counting- Mario's Pizza

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by Priyaranjan » Mon Dec 21, 2015 5:58 am
Q.Mario's Pizza has 2 choices of crust: deep dish and thin-and-crispy. The restaurant also has a choice of 5 toppings: tomatoes, sausage, peppers, onions, and pepperoni. Finally, Mario's offers every pizza in extra cheese as well as regular. If Linda's volleyball team decides to order a pizza with 4 toppings, how many different choices do the teammates have at Mario's Pizza?
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by GMATGuruNY » Mon Dec 21, 2015 6:13 am
Priyaranjan wrote:Q.Mario's Pizza has 2 choices of crust: deep dish and thin-and-crispy. The restaurant also has a choice of 5 toppings: tomatoes, sausage, peppers, onions, and pepperoni. Finally, Mario's offers every pizza in extra cheese as well as regular. If Linda's volleyball team decides to order a pizza with 4 toppings, how many different choices do the teammates have at Mario's Pizza?
Number of crust options = 2.
From 5 toppings, the number of ways to choose 4 = 5C4 = (5*4*3*2)/(4*3*2*1) = 5.
Number of cheese options = 2.
To combine these options, we multiply:
2*5*2 = 20.
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by [email protected] » Mon Dec 21, 2015 3:25 pm
Hi Priyaranjan,

Mitch's solution to this question is spot-on, so I won't rehash any of that math here. However, as you continue to post questions in this Forum, you should make sure to post the 5 answer choices along with the prompt. With certain questions, knowing the answer choices can provide a potential shortcut for the work involved or an alternative approach to solving the problem outright.

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Re: Counting- Mario's Pizza

by Scott@TargetTestPrep » Tue Sep 15, 2020 4:16 am
Priyaranjan wrote: ↑
Mon Dec 21, 2015 5:58 am
 Q.Mario's Pizza has 2 choices of crust: deep dish and thin-and-crispy. The restaurant also has a choice of 5 toppings: tomatoes, sausage, peppers, onions, and pepperoni. Finally, Mario's offers every pizza in extra cheese as well as regular. If Linda's volleyball team decides to order a pizza with 4 toppings, how many different choices do the teammates have at Mario's Pizza?
Solution:

Since there are 2 choices for the crust, 2 choices for cheese, and 5C4 = 5 choices for four toppings, there are 2 x 2 x 5 = 20 choices for pizzas with four toppings.

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