Solution Found!
Show that if A and B are sets
Chapter 2, Problem 18E(choose chapter or problem)
QUESTION:
Show that if \(A\) and \(B\) are sets \(|A|=|B|\), then \(|\mathcal{P}(A)|=\) \)|\mathcal{P}(B)|\).
Equation Transcription:
Text Transcription:
A
B
|A| = |B|
|P(A)| = |P(B)|
Questions & Answers
QUESTION:
Show that if \(A\) and \(B\) are sets \(|A|=|B|\), then \(|\mathcal{P}(A)|=\) \)|\mathcal{P}(B)|\).
Equation Transcription:
Text Transcription:
A
B
|A| = |B|
|P(A)| = |P(B)|
ANSWER:
Solution:
Step 1:
In the given problem we have to prove that if A and B sets, then