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For each of the 7 zones of a national park, the table provides information about policies pertaining to camping and campfires.
| Zone | Camping allowed in designated campsites | Camping allowed outside of designated campsites | Campfire allowed outside of designated campsites |
|---|---|---|---|
| 1 | no | yes | yes |
| 2 | yes | no | no |
| 3 | yes | yes | yes |
| 4 | yes | no | no |
| 5 | no | yes | no |
| 6 | no | yes | no |
| 7 | yes | yes | yes |
For each of the following statements select Yes if statement accurately reflects the information provided. Otherwise, select No.
All of the zones allow camping in at least some areas.
Exactly 3 of the zones that allow camping in designated campsites also allow camping outside of designated campsites.
Exactly 2 of the zones that allow camping outside of designated campsites do NOT allow campfires outside of designated campsites.
Let's start by understanding what we're working with in this camping zones table:
| Zone | Camping in designated sites | Camping outside designated sites | Campfire outside |
|---|---|---|---|
| 1 | No | Yes | Yes |
| 2 | Yes | No | No |
| 3 | Yes | Yes | Yes |
| 4 | Yes | No | Yes |
| 5 | No | Yes | No |
| 6 | No | Yes | No |
| 7 | Yes | Yes | Yes |
Key insights about our dataset:
This type of dataset allows us to use visual pattern recognition rather than calculation-heavy approaches - a major efficiency advantage!
Statement 1 Translation:
Original: "All zones allow camping in at least some areas"
What we're looking for:
In other words: Does each zone allow camping somewhere (either in designated sites OR outside)?
Let's approach this efficiently by sorting the table to group similar zones together:
| Zone | Camping in designated sites | Camping outside designated sites | Campfire outside |
|---|---|---|---|
| 1 | No | Yes | Yes |
| 5 | No | Yes | No |
| 6 | No | Yes | No |
| 2 | Yes | No | No |
| 3 | Yes | Yes | Yes |
| 4 | Yes | No | Yes |
| 7 | Yes | Yes | Yes |
Statement 1 is Yes.
Teaching note: Notice how sorting transformed this question from checking all 7 zones individually into a focused check of just 3 zones. This is much faster than evaluating each zone separately!
Statement 2 Translation:
Original: "Exactly 3 zones that allow camping in designated campsites also allow camping outside"
What we're looking for:
In other words: Are there exactly 3 zones where both types of camping are allowed?
Let's use sorting again to make this count easy:
| Zone | Camping in designated sites | Camping outside designated sites | Campfire outside |
|---|---|---|---|
| 1 | No | Yes | Yes |
| 5 | No | Yes | No |
| 6 | No | Yes | No |
| 2 | Yes | No | No |
| 3 | Yes | Yes | Yes |
| 4 | Yes | No | Yes |
| 7 | Yes | Yes | Yes |
Statement 2 is No.
Teaching note: By sorting first, we narrowed our focus to just the relevant zones, making our count more reliable and efficient. This approach eliminates the need to check every zone multiple times.
Statement 3 Translation:
Original: "Exactly 2 zones that allow camping outside do NOT allow campfires outside"
What we're looking for:
In other words: Of the zones where outside camping is allowed, are there exactly 2 where campfires are prohibited?
This requires us to look at multiple criteria, so let's use a two-step sorting approach:
| Zone | Camping in designated sites | Camping outside designated sites | Campfire outside |
|---|---|---|---|
| 2 | Yes | No | No |
| 4 | Yes | No | Yes |
| 1 | No | Yes | Yes |
| 3 | Yes | Yes | Yes |
| 5 | No | Yes | No |
| 6 | No | Yes | No |
| 7 | Yes | Yes | Yes |
Statement 3 is Yes.
Teaching note: This multi-criteria question becomes much simpler when we use sorting to create logical groupings. Rather than checking all 7 zones against both criteria, we quickly narrowed to the relevant subset, then counted the matches.
Evaluating the three statements:
Therefore, our answer is: Yes No Yes
Remember: When approaching any table with yes/no or categorical data, sorting is your most powerful first step. It transforms counting problems into visual pattern recognition, which is much faster and more reliable under test conditions!
All of the zones allow camping in at least some areas.
Exactly 3 of the zones that allow camping in designated campsites also allow camping outside of designated campsites.
Exactly 2 of the zones that allow camping outside of designated campsites do NOT allow campfires outside of designated campsites.