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Joses Catering Service offers six different entrees and offers event
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07 Dec 2022, 02:15
07 Dec 2022, 02:15
Expert Reply
1
Bookmarks
00:00
Question Stats:
19% (00:57) correct
80% (01:10) wrong based on 31 sessions
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Jose’s Catering Service offers six different entrees and offers event menus that consist of one to six of these different entrees.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
_________________
Quantity A |
Quantity B |
The number of possible menus that consist of two different entrees |
The number of possible menus that consist of four different entrees |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
_________________
Re: Joses Catering Service offers six different entrees and offers event
[#permalink]
11 Dec 2022, 04:00
11 Dec 2022, 04:00
Expert Reply
OE
Quantity A places a restriction on which meals a chef can cook because each chef must cook a distinct meal. In this case, there would be 3 × 2 × 1 = 6 different assignments. Quantity B does not place a restriction on which meals a chef can cook. In this case, there would be 3 × 3 × 3 = 27 different assignments, choice (B).
_________________
Quantity A places a restriction on which meals a chef can cook because each chef must cook a distinct meal. In this case, there would be 3 × 2 × 1 = 6 different assignments. Quantity B does not place a restriction on which meals a chef can cook. In this case, there would be 3 × 3 × 3 = 27 different assignments, choice (B).
_________________
Re: Joses Catering Service offers six different entrees and offers event
[#permalink]
12 Jul 2023, 13:27
12 Jul 2023, 13:27
Carcass wrote:
Jose’s Catering Service offers six different entrees and offers event menus that consist of one to six of these different entrees.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The number of possible menus that consist of two different entrees |
The number of possible menus that consist of four different entrees |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Shouldn't the answer for this question be C?
No. of possible combinations with 2 different entrees: \({6 \choose 2} = 15\)
No. of possible combinations with 4 different entrees: \({6 \choose 4} = 15\)
Re: Joses Catering Service offers six different entrees and offers event
[#permalink]
12 Jul 2023, 15:26
12 Jul 2023, 15:26
Expert Reply
Technically yes even though - frankly - I did not understand the OE above. A places a restriction and B does not. 
\(A =\frac{ 6*5*4*3*2*1}{2*1 * 4*3*2*1}=3*5=15\)
\(B = \frac{6*5*4*3*2*1}{4*3*2*1*2*1}=3*5=15\)
Regards
_________________
\(A =\frac{ 6*5*4*3*2*1}{2*1 * 4*3*2*1}=3*5=15\)
\(B = \frac{6*5*4*3*2*1}{4*3*2*1*2*1}=3*5=15\)
Regards
_________________
Re: Joses Catering Service offers six different entrees and offers event
[#permalink]
17 Jul 2023, 07:00
17 Jul 2023, 07:00
Shouldnt the answer be C using the P&C
gmatclubot
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B