HW06 M205 - MATH 205 Homework 6 Bridge Course Due Thursday 2 March 2017 Recall Given sets A and B = A cfw X | X A The power set of A = A B cfw a b | a A

HW06 M205 - MATH 205 Homework 6 Bridge Course Due Thursday...

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MATH 205 Homework 6 Bridge Course Due: Thursday, 2 March 2017 Recall Given sets A and B , ( ) { } | A X X A = The power set of A . ( ) { } , | , A B a b a A b B × = The product of two sets. 1. Let X and Y be sets such that 4 X = and 5. Y = a. Find ( ) . X b. Find ( ) . Y c. Find 2 . X d. Find . X Y × 2. Let A and B be sets with A m = and , B n = for some natural numbers A and B . a. Find ( ) . A b. Find ( ) 2 . A Note: This is equal to the total number of relations on A . c. Find ( ) . A B × Note: This is equal to the total number of relations from
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