finalw03 - UNIVERSITY OF WATERLOO FINAL EXAMINATION WINTER...

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UNIVERSITY OF WATERLOO FINAL EXAMINATION WINTER TERM 2003 Surname: First Name: Id.#: Course Number MATH 239 Course Title Introduction to Combinatorics Instructor 01 Professor Menezes 8:30 a 02 Professor Irving 10:30 a 03 Professor Goulden 1:30 a Date of Exam April 7, 2003 Time Period 2-5 p.m. Number of Exam Pages 14 pages (including this cover sheet) Exam Type Closed Book ADDITIONAL INSTRUCTIONS: 1. Write your name and Id.# in the blanks above. Put a check mark in the box next to your instructor’s name and lecture time. 2. There are 14 pages to this exam including the cover page. Please be sure you have all 14 pages. 3. Answer each of the problems in the space provided; use the back of the previous page for additional space. 4. You may only use a non-programmable calculator. Show the reasoning used in any calculation.
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Problem Value Mark Awarded Problem Value Mark Awarded 1 11 6 14 2 10 7 10 3 9 8 13 4 11 9 12 5 10 TOTAL 100
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1(a) Give an example of a composition of 31 into 7 parts, where each part is congruent [2] to 1 modulo 3. (b) Determine the number of compositions of 31 into 7 parts, where each part is congruent
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This note was uploaded on 07/28/2009 for the course MATH math239 taught by Professor ... during the Spring '06 term at Waterloo.

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finalw03 - UNIVERSITY OF WATERLOO FINAL EXAMINATION WINTER...

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