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PLUTO
Joined: 08 Aug 2018
Last visit: 26 Feb 2019
Posts: 33
Given Kudos: 632
Location: India
Schools: LBS '21 (S) INSEAD Jan '19
GMAT 1: 720 Q49 V40
GPA: 4
WE:Engineering (Energy)
23 Sep 2018, 01:40
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
31% (01:38) correct
69%
(01:48)
wrong
based on 211
sessions
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Schezwan restaurant offers 5 chicken, prawn, beef, vegetable & tofu entrees served with either garlic or chili sauce. In how many ways can 3 entrees be served if no entry is served more than once?
A. 10
B. 60
C. 80
D. 100
E. 120
A. 10
B. 60
C. 80
D. 100
E. 120
23 Sep 2018, 09:17
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PLUTO
Schezwan restaurant offers 5 chicken, prawn, beef, vegetable & tofu entrees served with either garlic or chili sauce. In how many ways can 3 entrees be served if no entry is served more than once?
Answer Options: -
A. 10
B. 60
C. 80
D. 100
E. 120
Answer Options: -
A. 10
B. 60
C. 80
D. 100
E. 120
Take the task of creating a meal and break it into stages.
Stage 1: Select 3 entrees
Since the order in which we select the entrees does not matter, we can use combinations.
We can select 3 entrees from 5 entrees in 5C3 ways (10 ways)
So, we can complete stage 1 in 10 ways
If anyone is interested, we have a video (below) on calculating combinations (like 5C3) in your head
ASIDE: We now have our 3 entrees, but we don't have a sauce for each entree.
Stage 2: Choose a sauce for one of of the entrees
We have 2 choices (garlic or chili sauce), so we can complete stage 2 in 2 ways
Stage 3: Choose a sauce for another entree
We have 2 choices (garlic or chili sauce), so we can complete stage 3 in 2 ways
Stage 4: Choose a sauce for the last remaining entree
We have 2 choices (garlic or chili sauce), so we can complete stage 4 in 2 ways
By the Fundamental Counting Principle (FCP), we can complete all 4 stages (and thus create a meal) in (10)(2)(2)(2) ways (= 80 ways)
Answer: C
Note: the FCP can be used to solve the MAJORITY of counting questions on the GMAT. So, be sure to learn it.
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General Discussion
23 Sep 2018, 02:06
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I would say it is a tricky question since it is ambiguous.
There are 2 sources of confusion:
1) Do we count chicken, prawn, beef, and chicken, beef, prawn as same or as a different way of serving? I guess we can conclude that in one way, so we will need divide by 3!
2) Do we serve a sauce on the entree? Can we order a garlic chicken and chili beef? So we need to multiply by 8? can we order chicken without sauce? We will need to multiply by 27. Do we get a sauce in Panda Express way, we will need to multiply by 2, 3 or 4 depends on whether we can reject both or take both.
Anyway, with all this in mind, we can calculate that we have 5*4*3=60/3! = 10 * 8 = 80
Since answer C
But if you will calculate an ordered permutation 60 and multiply by 2 Panda Express style, you will get incorrect 120
There are 2 sources of confusion:
1) Do we count chicken, prawn, beef, and chicken, beef, prawn as same or as a different way of serving? I guess we can conclude that in one way, so we will need divide by 3!
2) Do we serve a sauce on the entree? Can we order a garlic chicken and chili beef? So we need to multiply by 8? can we order chicken without sauce? We will need to multiply by 27. Do we get a sauce in Panda Express way, we will need to multiply by 2, 3 or 4 depends on whether we can reject both or take both.
Anyway, with all this in mind, we can calculate that we have 5*4*3=60/3! = 10 * 8 = 80
Since answer C
But if you will calculate an ordered permutation 60 and multiply by 2 Panda Express style, you will get incorrect 120
