Could you please outline the situations/problem types for which the Double Set Matrix metod outlined in the overlapping sets chapter would NOT be the appropriate route to solve problemsdealing with sets.
I wasnt able to solve qtn 94 (DS: OG11) using the matrix method and I was wondering if this problem is compatible with the matrix method. Venn diagram appears to be most effective way to solve this problem eventhough the it deals with only 2 sets of data. Comments??
Thanks!
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- rfernandez
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We cannot post or discuss OG problems on this forum, so I cannot address the problem you cited specifically.
Double set matrices are effective when you are given two overlapping sets that pertain to all of the members in the group. An example might be 6 feet tall or taller/under six feet tall and 18 years old or older/under 18 years old. Everyone in the group will find him/herself in one of four categories that are created.
6+ feet tall & 18+ years old
6+ feet tall & under 18 years old
under 6 feet tall & 18+ years old
under 6 feet tall & under 18 years old
In the example above, by the way, each set is divided into two groups. It's possible for there to be more than two subdivisions. For example, suppose an ice cream parlor serves exactly three flavors (chocolate, coffee, and vanilla) and exactly two types (ice cream and frozen yogurt). This will result in six different subgroups.
One situation where a double set matrix won't work is when you're dealing with more than two sets. You'd need a three-dimensional chart to sort that out, and that's just too hard to draw, so a three-circle Venn Diagram does the trick better.
Double set matrices are effective when you are given two overlapping sets that pertain to all of the members in the group. An example might be 6 feet tall or taller/under six feet tall and 18 years old or older/under 18 years old. Everyone in the group will find him/herself in one of four categories that are created.
6+ feet tall & 18+ years old
6+ feet tall & under 18 years old
under 6 feet tall & 18+ years old
under 6 feet tall & under 18 years old
In the example above, by the way, each set is divided into two groups. It's possible for there to be more than two subdivisions. For example, suppose an ice cream parlor serves exactly three flavors (chocolate, coffee, and vanilla) and exactly two types (ice cream and frozen yogurt). This will result in six different subgroups.
One situation where a double set matrix won't work is when you're dealing with more than two sets. You'd need a three-dimensional chart to sort that out, and that's just too hard to draw, so a three-circle Venn Diagram does the trick better.
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