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Introduction to Set Theory and Counting Theorems

Learn about sets, intersections, unions, complements, differences, and counting theorems. Explore numerical sets, Venn diagrams, and the power set concept with practical examples. Find solutions using Cartesian Products.

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Introduction to Set Theory and Counting Theorems

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  1. CSE 2353 – September 22nd 2003 Sets

  2. Sets • Intersection • Union • Disjoint • Complement • Difference • Definition • Member • Equality • |A| • Subset • Superset • Proper subset • Proper superset

  3. Numerical Sets

  4. Special Sets

  5. Counting Theorems • Two Disjoint Sets • Many sets no common elements • Two Finite Sets • Three Finite Sets

  6. Set Counting 100 students 65 study math 45 study electronics 42 study accounting 20 math and electronics 25 math and accounting 15 electronics and accounting find: how many study all 3 subjects Math and Electronics but not accounting only electronics

  7. Venn diagrams

  8. Power Set The set of all sub-sets. Find P(A) where A = {a,b} and A = {a,b,c}

  9. Cartesian Product

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