# Hmk2 - COT 3100 Section 2 Homework #2 Spring 2000 Lecturer:...

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COT 3100 Section 2 Homework #2 Spring 2000 Lecturer: Arup Guha Assigned: 1/25/00 Due: 2/10/00, 2/11/00 in recitation 1) Determine all of the elements in the following sets: a) {((-1) n + 1 n )/2 | n N } b) {6 n mod 24 | n N } (Note: a mod b is simply the remainder you get when you divide a by b. Thus, 17 mod 7 = 3.) c) {n 3 – 3n 2 + 2n | n {0,1,2,3,4}} 2) Do problem #8 on page 137 of the text. Here it is: For A = {1,2,3,4,5,6,7}, determine the number of a) subsets of A b) nonempty subsets of A c) proper subsets of A d) nonempty proper subsets of A e) subsets of A containing 3 elements f) subsets of A containing 1 and 2. g) subsets of A containing 5 elements, including 1 and 2. h) subsets of A with an even number of elements i) subsets of A with an odd number of elements 3) Given that our universe U has 20 elements(|U| = 20) and that A, B and C are sets such that |A| = 10, |B| = 12, |C| = 8, |(A B) C| = 4, |A B| = 7, and |(A B) C|=18, find the following values. Please show your work. (Note: if the values can not be

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Hmk2 - COT 3100 Section 2 Homework #2 Spring 2000 Lecturer:...

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