t21fa02 - COT3100.01, Fall 2002 S. Lang (10/31/2002) Test...

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COT3100.01, Fall 2002 Test #2 Print Name: ______________________________ S. Lang (10/31/2002) Social Security No.: ____________________ Instruction: The test is a closed-book, closed-notes, and no-calculator test. The test has 4 pages (double-sided), 17 questions, and 100 total points. The last sheet contains the relevant definitions, principles, formulas, and theorems from the notes, which you can tear off and use for reference. In writing your proofs, you need to show all the steps, and explain each by using the appropriate definition or theorem, by either stating the name, stating the actual contents, or giving its reference number as shown on the reference sheet. For combinatorics questions, you may leave your answers in an un-simplified form , e.g., C (10, 3), 5! / 3!, 2 9 * (2 4 + 6 * 2 3 ), etc. unless the question says otherwise. Your signature below indicates you have read and understood this instruction. Signature: ______________________________________ Part I. (39 pts., 3 pts. each) True/False, or short-answer, questions. (No explanation needed and no partial credit given.) 1. Let N denote the set of natural numbers {0, 1, 2, …}, and let
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t21fa02 - COT3100.01, Fall 2002 S. Lang (10/31/2002) Test...

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