## Quiz Information

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CMSC 250 Quiz #8 KEY Monday, Oct. 29, 2001
Write all answers legibly in the space provided. The number of points possible for each question is indicated
in square brackets { the total number of points on the quiz is 30, and you will have exactly 15 minutes to
complete this quiz. You may not use calculators, textbooks or any other aids during this quiz.
1. [12 points] Assuming is the set fa; b; cg do each of the following:
a. Give the value of 2.
2 = faa; ab; ac; ba; bb; bc; ca; cb; ccg
b. Give the power set of .
P( ) = f;;fag;fbg;fcg;fa; bg;fa; cg;fb; cg;fa; b; cgg
c. Assuming A = f1; 2g - give A .
A = f(1; a); (1; b); (1; c); (2; a); (2; b); (2; c)g
2. [8 pnts.] Give the lists of elements in each of the sets (A and B) assuming A B = f1; 5; 7; 8g,
B A = f2; 10g and A \ B = f3; 6; 9g.
A = f1; 5; 7; 8; 3; 6; 9g
B = f2; 10; 3; 6; 9g
3. [10 pnts.] Prove or give a counter example to the following.
A = fx 2 Zj9i 2 Z; x = 2ig
B = fx 2 Zj9i 2 Z; x = 4i + 2g
B = A
ANSWER:
Let x be a gener...

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