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A bar is creating a new signature drink. There are five possible alcoh
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20 Oct 2021, 09:20
20 Oct 2021, 09:20
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A bar is creating a new signature drink. There are five possible alcoholic ingredients in the drink: rum, vodka, gin, peach schnapps, or whiskey. There are five possible non-alcoholic ingredients: cranberry juice, orange juice, pineapple juice, lime juice, or lemon juice. If the bar uses two alcoholic ingredients and two non-alcoholic ingredients, how many different drinks are possible?
A. 25
B. 50
C. 75
D. 100
E. 3600
A. 25
B. 50
C. 75
D. 100
E. 3600
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Re: A bar is creating a new signature drink. There are five possible alcoh
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20 Oct 2021, 09:48
20 Oct 2021, 09:48
1
Carcass wrote:
A bar is creating a new signature drink. There are five possible alcoholic ingredients in the drink: rum, vodka, gin, peach schnapps, or whiskey. There are five possible non-alcoholic ingredients: cranberry juice, orange juice, pineapple juice, lime juice, or lemon juice. If the bar uses two alcoholic ingredients and two non-alcoholic ingredients, how many different drinks are possible?
A. 25
B. 50
C. 75
D. 100
E. 3600
A. 25
B. 50
C. 75
D. 100
E. 3600
Take the task of making a drink and break it into stages.
Stage 1: Select two alcoholic ingredients for the drink
Since the order in which we select the ingredients does not matter, we can use combinations.
We can select 2 ingredients from 5 ingredients in 5C2 ways (10 ways)
So, we can complete stage 1 in 10 ways
If anyone is interested, we have a video on calculating combinations (like 5C2) in your head (see below)
Stage 2: Select two non-alcoholic ingredients for the drink
We'll use combinations again.
We can select 2 ingredients from 5 ingredients in 5C2 ways (10 ways)
So, we can complete stage 2 in 10 ways
By the Fundamental Counting Principle (FCP), we can complete the 2 stages (and thus create a drink) in (10)(10) ways (100 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
RELATED VIDEO
[youtube]https://www.youtube.com/watch?v=Kj-Mv8VlipM[/youtube
gmatclubot
Re: A bar is creating a new signature drink. There are five possible alcoh [#permalink]
20 Oct 2021, 09:48
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