General MathFundamental ConceptNCTB সাধারণ গণিত অধ্যায় ২ (সেট ও ফাংশন)
Power Set
Bengali: শক্তি সেট•Pronunciation: পাওয়ার সেট•Symbol: P(A)
Standard Definition:
The set of all subsets of a given set, including the empty set and the set itself.
📐 Mathematical Equation, Units & Dimensions
Defining Mathematical Equation
Standard SI Unit
Cardinality(উপাদান সংখ্যা (কার্ডিনালিটি))
Dimensional Analysis
CGS Unit
None
📖 Physical Concept & Comprehensive Explanation
If a set contains n elements, its power set P(A) contains 2^n subsets. Proper subsets exclude the set itself, yielding 2^n - 1 proper subsets.
🎯 High-Yield Revision Points
- ✓Power set size is 2^n.
- ✓Proper subsets count equals 2^n - 1.
- ✓The empty set is an element of every power set.
Use Online Solver for Power Set
Compute step-by-step solutions, verify formulas, and plot interactive diagrams on biggan.me.
❓ Frequently Asked Exam Questions (FAQ)
Common questions in board and competitive entrance examinations
Q1: If a set has 3 elements, how many subsets and proper subsets exist?
It has 2^3 = 8 subsets and 2^3 - 1 = 7 proper subsets.