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chef has lamb, carrots, potatoes, celery, and peppers. From these, sh
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15 Oct 2021, 04:50
15 Oct 2021, 04:50
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Question Stats:
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33% (00:46) wrong based on 9 sessions
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A chef has lamb, carrots, potatoes, celery, and peppers. From these, she chooses three different ingredients for a stew. She willserve the stew with bread, salad, or dumplings. How many different meals could the chef serve?
A. 10
B. 15
C. 20
D. 30
E. 60
A. 10
B. 15
C. 20
D. 30
E. 60
Re: chef has lamb, carrots, potatoes, celery, and peppers. From these, sh
[#permalink]
15 Oct 2021, 05:19
15 Oct 2021, 05:19
1
Expert Reply
Carcass wrote:
A chef has lamb, carrots, potatoes, celery, and peppers. From these, she chooses three different ingredients for a stew. She willserve the stew with bread, salad, or dumplings. How many different meals could the chef serve?
A. 10
B. 15
C. 20
D. 30
E. 60
A. 10
B. 15
C. 20
D. 30
E. 60
Take the task of creating a meal and break it into stages.
Stage 1: Select 3 different ingredients for the stew
Since the order in which we select the 3 different ingredients does not matter, we can use combinations.
We can select 3 ingredients from 5 ingredients in 5C3 ways (10 ways)
So, we can complete stage 1 in 10 ways
Aside: The 2nd video below has tips on calculating combinations like 5C3 in your head
Stage 2: Select a side dish (bread, salad, or dumplings) for the stew
There are 3 options for the side dish, we can complete stage 2 in 3 ways
By the Fundamental Counting Principle (FCP), we can complete the 2 stages (and thus create a mean) in (10)(3) ways (= 30 ways)
Answer: D
Note: the FCP can be used to solve the MAJORITY of counting questions on the GRE. So, be sure to learn it.
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