Power Set of a Set With n Elements has 2n Elements Proof by Induction











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In this exercise we need to proof by induction over that the the power set of a set with n elements has exactly 2^n elements or we could also say that it has the cardinality of 2^n. • ⏰ Timeline • 00:00 Exercise • 00:10 Base case • 00:50 Induction hypothesis • 01:03 Induction step • 03:46 Conclusion • 📜 All Discrete Mathematics Exercises •    • Discrete Mathematics Exercises   • 📜 All Linear Algebra Exercises •    • Linear Algebra Exercises   • 🎵 Music • Reverie by Nomyn   / nomyn   • Creative Commons — Attribution 3.0 Unported — CC BY 3.0 • Free Download / Stream: http://bit.ly/2RM3qu4 • Music promoted by Audio Library    • Reverie – Nomyn (No Copyright Music)  

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