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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
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Question Stats:
26% (01:28) correct
73% (01:08) wrong based on 53 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
1
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: \({6 \choose 4} = 15\)
