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Let X = {1,2,...,9}. 1. Find the number of subsets A of X. 512 2. Find the number of pairs (A, B) of subsets A and B of X such that A C B. 3. Find the number of pairs (A, B) of subsets A and B of X such that A C B or BC A

Let X = {1,2,...,9}. 1. Find the number of subsets A of X. 512 2. Find the number of pairs (A, B) of subsets A and B of X such that A C B. 3. Find the number of pairs (A, B) of subsets A and B of X such that A C B or BC A

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let X = {1,2,...,9}. 1. Find the number of subsets A of X. 512 2. Find the number of pairs (A, B) of subsets A and B of X such that A C B. 3. Find the number of pairs (A, B) of subsets A and B of X such that A C B or BCA. 4. Find the number of pairs (A, B) of subsets A and B of X such that AUB= X. 5. Find the number of pairs (A, B) of subsets A and B of X such that AN B = 0. 6. Find the number of pairs (A, B) of subsets A and B of X such that AUB = X and ANB= 0.
Transcribed Image Text:Let X = {1,2,...,9}. 1. Find the number of subsets A of X. 512 2. Find the number of pairs (A, B) of subsets A and B of X such that A C B. 3. Find the number of pairs (A, B) of subsets A and B of X such that A C B or BCA. 4. Find the number of pairs (A, B) of subsets A and B of X such that AUB= X. 5. Find the number of pairs (A, B) of subsets A and B of X such that AN B = 0. 6. Find the number of pairs (A, B) of subsets A and B of X such that AUB = X and ANB= 0.
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