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Re: Mario's Pizza has two choices of crust: deep dish and thin-and-crispy. [#permalink]
Thanks, that makes sense.
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Re: Mario's Pizza has two choices of crust: deep dish and thin-and-crispy. [#permalink]
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NvrEvrGvUp wrote:
Thanks, that makes sense.


I'm glad the explanation helped. Keep at it!
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Re: Mario's Pizza has two choices of crust: deep dish and thin-and-crispy. [#permalink]
5x2x2 =20, this is a mgmat questions. The end is slightly different.
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Re: Mario's Pizza has two choices of crust: deep dish and thin-and-crispy. [#permalink]
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need great help to correct my steps/understanding:
I need to choose one of crust with 4 toppings.
so I need to choose 1 from 2 and 4 toppings from 5:
my work is as follows:
2/1! multiply 5x4x3x2 / 4!
= 2 / 1 x 5x4x3x2/4x3x2x1
= 2 x 5
= 10 choices
why my answer is wrong, need great help
is cheese and regular is also part of the equation.
Many thanks
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Re: Mario's Pizza has two choices of crust: deep dish and thin-and-crispy. [#permalink]
Many thanks Bunuel really really appreciate it
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Re: Mario's Pizza has two choices of crust: deep dish and thin-and-crispy. [#permalink]
Is this actually sub600? cos it's seems some users are as confused as I am. GMAT is really a foreign language tests.
was the level randomly assigned?
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Re: Mario's Pizza has two choices of crust: deep dish and thin-and-crispy. [#permalink]
In the question there was mention of "crust". As I don't eat pizzas, and don't know the details of what constitute pizzas, I might need to get a lesson on pizza preparation.
but I guess from the problem, crust n toppings are stuffs for making pizzas. right? if you order a pizza with four toppings, how many choices do u have?
what happened to crust plz!
And finally, what does "finally... extra-cheese as well as regular" mean?
Pizza eating guys please explain.
Thanks.
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Re: Mario's Pizza has two choices of crust: deep dish and thin-and-crispy. [#permalink]
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Bunuel wrote:
apple08 wrote:
need great help to correct my steps/understanding:
I need to choose one of crust with 4 toppings.
so I need to choose 1 from 2 and 4 toppings from 5:
my work is as follows:
2/1! multiply 5x4x3x2 / 4!
= 2 / 1 x 5x4x3x2/4x3x2x1
= 2 x 5
= 10 choices
why my answer is wrong, need great help
is cheese and regular is also part of the equation.
Many thanks


There is one more piece of information: Mario's offers very pizza in extra-cheese as well as regular.

Mario's Pizza has two 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 very pizza in extra-cheese as well as regular. If Linda's volleyball team decides to order a pizza with four toppings, how many different choices do the teammates have at Mario's Pizza?

Mario's Pizza:
2 choices of crust.
5 choices of toppings.
2 choices of cheese (extra-cheese or regular).

Linda decides to order a pizza with four toppings.

How many 4-topping pizzas are possible from 5? \(C^4_5=5\). But the pizza can have 2 different crusts and two different cheese, therefore the final answer is 5*2*2 = 20.


Hi,

Can you please tell me when do we have to use Combination Formula and when simple multiplication? Like in this case, I applied the formula 2C1 * 5C4 * 2C1
whereas its just simple multiplication

Originally posted by Farina on 02 Feb 2020, 22:53.
Last edited by Farina on 03 Feb 2020, 10:04, edited 1 time in total.
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Re: Mario's Pizza has two choices of crust: deep dish and thin-and-crispy. [#permalink]
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Farina wrote:
Bunuel wrote:
apple08 wrote:
need great help to correct my steps/understanding:
I need to choose one of crust with 4 toppings.
so I need to choose 1 from 2 and 4 toppings from 5:
my work is as follows:
2/1! multiply 5x4x3x2 / 4!
= 2 / 1 x 5x4x3x2/4x3x2x1
= 2 x 5
= 10 choices
why my answer is wrong, need great help
is cheese and regular is also part of the equation.
Many thanks


There is one more piece of information: Mario's offers very pizza in extra-cheese as well as regular.

Mario's Pizza has two 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 very pizza in extra-cheese as well as regular. If Linda's volleyball team decides to order a pizza with four toppings, how many different choices do the teammates have at Mario's Pizza?

Mario's Pizza:
2 choices of crust.
5 choices of toppings.
2 choices of cheese (extra-cheese or regular).

Linda decides to order a pizza with four toppings.

How many 4-topping pizzas are possible from 5? \(C^4_5=5\). But the pizza can have 2 different crusts and two different cheese, therefore the final answer is 5*2*2 = 20.


Hi,

Can you please tell me when do we have to use Combination Formula and when simple multiplication? Like in this case, I applied the formula 2C1 * 5C4 * C1
whereas its just simple multiplication


Question:
Mario's Pizza has two 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 very pizza in extra-cheese as well as regular. If Linda's volleyball team decides to order a pizza with four toppings, how many different choices do the teammates have at Mario's Pizza?

Write in simple terms what you need to do:

You need to choose 1 out of the 2 crusts AND choose 4 of the 5 toppings AND Choose one of the two cheese variants

Now write the value of each part in bold:

choose 1 out of the 2 crusts = 2c1
choose 4 of the 5 toppings = 5c4
choose one of the two cheese variants = 2c1

(Note: there is no step where you need to arrange anything)

Now, remember that AND refers to multiplication; OR refers to addition

Thus, our answer:

You need to choose 1 out of the 2 crusts AND choose 4 of the 5 toppings AND Choose one of the two cheese variants

= \(2c1 * 5c4 * 2c1\)

= \(2 * 5 * 2\)

= \(20\)
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Re: Mario's Pizza has two choices of crust: deep dish and thin-and-crispy. [#permalink]
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Re: Mario's Pizza has two choices of crust: deep dish and thin-and-crispy. [#permalink]
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