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When you buy a wrap from a certain store, you must select at least one

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When you buy a wrap from a certain store, you must select at least one [#permalink] New post   22 Mar 2018, 17:57
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[GMAT math practice question]

When you buy a wrap from a certain store, you must select at least one of the three kinds of meat (beef, pork and fish), and one of lettuce, spinach and cucumber. You can also add one of oriental sauce, spicy mayo and sesame soy sauce. How many kinds of wraps can you buy?

A. 6
B. 9
C. 12
D. 18
E. 27

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Re: When you buy a wrap from a certain store, you must select at least one [#permalink] New post   24 Mar 2018, 16:04
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MathRevolution wrote:
[GMAT math practice question]

When you buy a wrap from a certain store, you must select at least one of the three kinds of meat (beef, pork and fish), and one of lettuce, spinach and cucumber. You can also add one of oriental sauce, spicy mayo and sesame soy sauce. How many kinds of wraps can you buy?

A. 6
B. 9
C. 12
D. 18
E. 27


Question says you must select at least one of 3 meats, which means you can select 1 meat or 2 or 3. Question also says that you can (not must) add one sauce, which means you can add 0 sauce or 1 sauce.

Number of ways to select 1 meat: 3C3 = 3
Number of ways to select 2 meats: 3C2 = 3
Number of ways to select 3 meats: 3C3 = 1
Total number of ways to select meat = 3+3+1 = 7
Number of ways to select 1 veggie: 3
Number of ways to select 0 sauce OR 1 sauce: 1+3 = 4

# of different wraps = (Total number of ways to select meat) * (Number of ways to select 1 veggie) * (Number of ways to select 0 sauce OR 1 sauce) = 7*3*4=84
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Re: When you buy a wrap from a certain store, you must select at least one [#permalink] New post   22 Mar 2018, 18:09
We got 3 different type of meat, vegetables and sauces, the total amount of combination is: \(3*3*3 = 27\) (E)
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Re: When you buy a wrap from a certain store, you must select at least one [#permalink] New post   25 Mar 2018, 18:20
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=>
There are three ways to choose one meat (beef, pork or fish), three ways to choose one vegetable (lettuce, spinach or cucumber), and 3 ways to choose one sauce (oriental sauce, spicy mayo or sesame soy sauce).
So, the total number of different wraps that can be bought is

3*3*3 = 27.

Therefore, E is the answer.

Answer: E
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Re: When you buy a wrap from a certain store, you must select at least one [#permalink] New post   25 Mar 2018, 19:26
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Hi

The ways of selecting sausage shall be - none ,spicy mayo or seasame. Hence 3 ways.

In place of oriental sausage , none should be there in solution provided.

Oriental sausage is a genre of sausage, not the particular sausage itself.

MathRevolution wrote:
=>
There are three ways to choose one meat (beef, pork or fish), three ways to choose one vegetable (lettuce, spinach or cucumber), and 3 ways to choose one sauce (oriental sauce, spicy mayo or sesame soy sauce).
So, the total number of different wraps that can be bought is

3*3*3 = 27.

Therefore, E is the answer.

Answer: E


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Re: When you buy a wrap from a certain store, you must select at least one [#permalink] New post   25 Mar 2018, 20:26
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There is flaw in wordings of wuestion.

Answer shall be 36.
3 choice for meat
3 for lettuce
4 for sauce (none, or 3 sauce option)

Answer 3*3*4=36

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Re: When you buy a wrap from a certain store, you must select at least one [#permalink] New post   25 Mar 2018, 20:41
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MathRevolution wrote:
[GMAT math practice question]

When you buy a wrap from a certain store, you must select at least one of the three kinds of meat (beef, pork and fish), and one of lettuce, spinach and cucumber. You can also add one of oriental sauce, spicy mayo and sesame soy sauce. How many kinds of wraps can you buy?

A. 6
B. 9
C. 12
D. 18
E. 27



Flawed Question..

As per the wordings, there can be two types of wraps..
1) with sauce..3*3*3=27
2) without sauce ...3*3=9
Total 36..
Or
3 meats to be choosen from, and 3 vegetables to be choosen from...(MUST)
There are 3 sauces to be choosen from but it is CAN so 4 ways- none or any of the three..
So 3*3*4=36

So for answer to be 27, either
1) there are only two sauces to choose from
2) CAN should be MUST

Ofcourse other flaws by use of ATLEAST as pointed out in below post by gmatbusters
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Re: When you buy a wrap from a certain store, you must select at least one [#permalink] New post   25 Mar 2018, 20:44
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There is one more confusion. It ask for atleast one selection. We need to select 2 or 3 selection also.

Please correct me.

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Re: When you buy a wrap from a certain store, you must select at least one [#permalink]
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