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Schezwan restaurant offers 5 chicken, prawn, beef, vegetable & tofu en
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25 Jun 2022, 04:06
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Question Stats:
28% (01:39) correct
71% (01:42) wrong based on 7 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?
Re: Schezwan restaurant offers 5 chicken, prawn, beef, vegetable & tofu en
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25 Jun 2022, 06:31
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Carcass wrote:
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?
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 GRE. So, be sure to learn it.
25 Jun 2022, 04:06 
28% (01:39) correct
