e300 - MAD 2104 Exam 3 March 30, 2000 Prof. S. Hudson Name...

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MAD 2104 March 30, 2000 Exam 3 Prof. S. Hudson Name Try to answer the questions in the space provided. If you continue your work on another page, be sure to leave a note. Do not use a calculator, book, or any personal paper. You may ask about any ambiguous questions or for extra paper. If you use extra paper, be sure to hand it in with your exam. 1) (15pts) a) How many functions are there from a set of 3 elements to a set of 8 elements? b) How many one-to-one functions are there from a set of 3 elements to a set of 8 elements? c) How many onto functions are there from a set of 3 elements to a set of 8 elements? 2) (15pts) The inclusion relation, R = { ( A,B ) | A B } is a relation on the set of subsets of Z . a) Is R reflexive? Briefly justify your answer. b) Is R antisymmetric? Briefly justify your answer. c) Is R a partial order? Briefly justify your answer. 1
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3) (10pt) Determine whether the two graphs below are isomorphic (either give an isomor- phism f , or find an invariant they don’t share). 4) (20pt) Answer with True or False. You don’t have to explain these.
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This note was uploaded on 12/27/2011 for the course MAD 2104 taught by Professor Staff during the Fall '08 term at FIU.

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e300 - MAD 2104 Exam 3 March 30, 2000 Prof. S. Hudson Name...

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