Venn Diagrams

Chapter summary, hard words and model exam answers for ICSE Class 10 Hindi.

Free online summary and notes (ICSE Class 10 Hindi). Read it here, no PDF download needed.

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Mathematics · CBSE 10 · ICSE 10 · GCSE (AQA, Edexcel, OCR)

Overlapping circles sit inside a rectangle. The rectangle holds every item being counted, including those in no circle.

Union shades both whole circles. Intersection shades just the lens where they cross.

Place the 'both' number first. Each circle's leftover = its total minus the overlap already placed.

Once every region has a number, P(event) is that region's count over n(ξ). Use n(A∪B)=n(A)+n(B)−n(A∩B) to check.

set	a collection of distinct elements written in curly brackets
element	a single member of a set
universal set	the set of all elements being considered, drawn as a rectangle, symbol ξ
union	A∪B: all elements in A or B or both
intersection	A∩B: elements in both A and B
complement	A′: all elements not in A
mutually exclusive	sets with no common element; their circles do not overlap
region	one separated area of the diagram with its own count

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