# S14exam1 - Com S 330 Discrete Computational Structures...

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Com S 330 Discrete Computational Structures Spring Semester 2014 Exam 1 Monday, February 24, 2014 Time: 50 minutes Name : ID : The exam is closed book. No notes or calculators are allowed. Please go over all the questions in the exam before you start working on it. Attempt the questions that seem easier first. The exam has a total of 120 points but you will only be scored over 100 points. This means that you can get a total of 20 extra credit points. If you see yourself getting stuck on one question, continue on and come back to it later if you have time. Try to stay as brief and to the point as possible. Good luck!

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1 2 3 4 5 6 Total 16 24 16 26 18 20 100
1. Set Operations [16 Points] For the following sets, let the universe be R . A = { x | x 2 100 } , B = { 3 k | k ∈ Z} and C = { 5 k | k ∈ Z} . (a) Define the sets D = C - A and E = B C . (b) Determine the power set of D . (c) Determine the set B × C using set-builder notation. (d) Are { n + 5 | n B } and { n + 2 | n B } equal? Explain.

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• Fall '15
• Soma Chaudhuri
• Logic, pts, Mathematical proof, faculty member

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