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# H1 - CS123 Youssef Homework 1 Due Date February 2 2010...

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CS123 January 19, 2010 Youssef Homework 1 Due Date: February 2, 2010 Problem 1: (15 points) let A = { 1 , 3 , 4 , 5 , 7 , 8 , 9 , 11 , 12 } , B = { x | x is an even natural number and 1 < x < 10 } , and C = { a, b, c, 4 , 5 , 6 , 7 , 8 } . a) Fill in the blanks with the most appropriate symbol ( , / , , 6⊆ ): 6 ...B, 6 ...A, b. ..C, b. ..B, { 2 , 4 , 6 } ...A, { 2 , 4 , 6 } ...B, { 4 , 6 , 8 , 10 } ...C. b) Evaluate: A B, A B, A - B, A + B, 2 A B C , ( A B ) × { a, b } . c) Evaluate: A ( B C ) , A - ( B C ) , ( A - B ) - C, ( A + B ) + C, A + ( B + C ). d) Find the cardinality of each set in (b) and (c). Problem 2: (15 points) Let A be the set of undergraduates at GW, B the set of GW students in discrete math (CS 123-10) at GW in Spring 2010 semester, and C the set of GW students majoring in CS in Spring 2010. Express each of the following sets in terms of A, B and C (and the diﬀerent set operations): a)

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H1 - CS123 Youssef Homework 1 Due Date February 2 2010...

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