by StaceyKoprince Mon Jul 20, 2009 3:51 pm
Really depends upon the wording of the specific problem. In general, a Venn is easier when you have zero "neither" group members.
eg, if we're talking about school clubs and kids are in either the French club or the tennis club or both, then a Venn works well. If you also have some kids that are in neither club - draw that Venn diagram. Where do the "neither" kids go? (You'd have to draw a box around the two overlapping circles - that "empty space" in the box is where the "neither" kids live.)
The double-set matrix would work for either of the two scenarios described above, so if you have 2 sets (French, tennis - in this case), then you could just always default to the matrix.
If you have 3 sets, then the problem typically will tell you there are zero "neithers." Eg, kids can be in one or more of these clubs: French, tennis, and snorkeling. The matrix is too unwieldy with 3 sets, so use the Venn here.
Stacey Koprince
Instructor
Director, Content & Curriculum
ManhattanPrep