Question
Download Solution PDFयदि A = {λ, {λ, μ}}, है तो A का घात सम्मुच्चय (पॉवर सैट) है?
Answer (Detailed Solution Below)
Detailed Solution
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पावर सेट: माना कि A एक गैर-रिक्त सेट है। तो, \(P\left( A \right) = \left\{ {B\;|\;B\; \subseteq A} \right\}\) को A का पावर सेट कहा जाता है।
n (A) = x के साथ किसी भी गैर-रिक्त सेट A के लिए सेट A के उप-समुच्चयों की कुल संख्या इसके द्वारा दी जाती है: 2x
अर्थात n(P(A)) = 2x
गणना:
दिया हुआ: A = {λ, {λ, μ}}
A के उपसमुच्चय हैं: {λ}, {{λ, μ}}, {λ, {λ, μ}}, φ
A का पावर सेट, P(A) = {φ, {λ}, {{λ, μ}}, {λ, {λ, μ}}}Last updated on Jun 18, 2025
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