1. Ally goes for a treat at an ice cream parlor. The parlor stocks 24 different flavors of ice cream. A small cone has one scoop, a medium cone as two scoops and a large cone has three scoops, how many possible combinations does Ally have to choose from if they have not decided what size to get? 2. Bailey is going to cross a river by jumping rocks. If the rocks are close enough to jump one, two or three at a time, how many different ways are there for Bailey to use the rocks to cross the river? 3. A survey of 300 adults found that during the last year, 82 purchased broccoli but not asparagus, 91 purchased cauliflower but not broccoli, 50 purchased asparagus but not broccoli or cauliflower, 32 purchased asparagus and cauliflower, 22 purchased all three, and 178 purchased asparagus or broccoli. Fill out a Venn diagram as much as possible and determine how many of the adults surveyed did not purchase any of the three vegetables?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Three Math Questions 1, 2, and 3 

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1. Ally goes for a treat at an ice cream parlor. The parlor stocks 24 different flavors of ice cream. A small cone
has one scoop, a medium cone as two scoops and a large cone has three scoops, how many possible
combinations does Ally have to choose from if they have not decided what size to get?
2. Bailey is going to cross a river by jumping rocks. If the rocks are close enough to jump one, two or three at
a time, how many different ways are there for Bailey to use the rocks to cross the river?
3. A survey of 300 adults found that during the last year, 82 purchased broccoli but not asparagus, 91
purchased cauliflower but not broccoli, 50 purchased asparagus but not broccoli or cauliflower, 32
purchased asparagus and cauliflower, 22 purchased all three, and 178 purchased asparagus or broccoli.
Fill out a Venn diagram as much as possible and determine how many of the adults surveyed did not
purchase any of the three vegetables?
Transcribed Image Text:1. Ally goes for a treat at an ice cream parlor. The parlor stocks 24 different flavors of ice cream. A small cone has one scoop, a medium cone as two scoops and a large cone has three scoops, how many possible combinations does Ally have to choose from if they have not decided what size to get? 2. Bailey is going to cross a river by jumping rocks. If the rocks are close enough to jump one, two or three at a time, how many different ways are there for Bailey to use the rocks to cross the river? 3. A survey of 300 adults found that during the last year, 82 purchased broccoli but not asparagus, 91 purchased cauliflower but not broccoli, 50 purchased asparagus but not broccoli or cauliflower, 32 purchased asparagus and cauliflower, 22 purchased all three, and 178 purchased asparagus or broccoli. Fill out a Venn diagram as much as possible and determine how many of the adults surveyed did not purchase any of the three vegetables?
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