← All lessons
📐 Mathematics - Class 10
Lesson 1 · Cardinality of Three Sets

Cardinality of Three Sets Presentation

MathematicsSubject
8 minEstimated read
Slide 1 of 4
Mathematics, Class 10 · Sets

Cardinality of Three Sets

Eight regions · One formula · Survey problems

What you will learn

⭕

Name the eight regions of a three-set Venn diagram

🧮

Derive and use the formula for n(A ∪ B ∪ C)

✌️

Find 'only' and 'exactly two' counts

📋

Solve survey problems by formula and by algebra

Union and U

🟢Nothing outside
Every element is in some circle
n(A ∪ B ∪ C) = n(U) = 9
VS
⚪Something outside
8 and 10 lie outside all circles
n(A ∪ B ∪ C) = 8, n(U) = 10

10 more slides are waiting

The notes are free to read in full.

Create free account Sign in

Presenter notes: Today we move from two sets to three. By the end you will be able to count any region of a three-set Venn diagram and solve survey problems two ways.