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At Deb’s Deli, a customer may choose either a sandwich and a
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10 Jul 2019, 05:38
10 Jul 2019, 05:38
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At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special. There are 5 choices of sandwich, 4 choices of salad, and 3 choices of soup. How many possible lunch special combinations can be ordered?
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35
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At Deb’s Deli, a customer may choose either a sandwich and a
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10 Jul 2019, 09:55
10 Jul 2019, 09:55
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arpitjain wrote:
At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special. There are 5 choices of sandwich, 4 choices of salad, and 3 choices of soup. How many possible lunch special combinations can be ordered?
Take the task of choosing what to eat and break it into stages.
Stage 1: Select a sandwich
Since there are 5 choices of sandwich to choose from, we can complete stage 1 in 5 ways
Stage 2: Select EITHER a salad OR a soup
There are 4 choices of salad, and 3 choices of soup (7 options in total)
So we can complete stage 2 in 7 ways
By the Fundamental Counting Principle (FCP), we can complete the two stages (and thus create a lunch) in (5)(7) ways (= 35 ways)
Answer: 35
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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