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DM topic guide

Venn Diagrams

Reason about inclusion, overlap, exclusion and counts.

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Venn Diagrams

Reason about inclusion, overlap, exclusion and counts.

Methoda clear route through this question type
1

Draw universal relationships first.

2

Add exclusions.

3

Place existential facts last.

4

Fill specific overlaps before totals.

How to spot it

What will the question look like?

The question describes groups or shows circles and asks what must fit where.

Rules to remember

Keep these in view

  • All places one set inside another.
  • No removes overlap.
  • Some guarantees at least one occupied region.
  • Circle size is not numerical unless stated.
Common traps

What tends to pull students off course

  • Double subtraction
  • Forgetting the outside region
  • Treating drawn scale as data
See it in action

Venn Diagrams in context

With 80 people, X=45, Y=38 and both=17: X-only is 28, Y-only is 21, the union is 66 and 14 are in neither.

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