# Study Guides for MATH 2001 at University of Colorado - Boulder (CU-BOULDER)

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## MATH 2001 Quiz: MATH2001 Quiz 2.2 2018 Winter

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How many of the integers x with 1 x 120 are divisible by at least one of 2 or 5: 60, 84, 12, 72, 96. How many of the integers x with 1 x 120 are divisi

View Document## MATH 2001 Study Guide - Quiz Guide: Equivalence Class, And1

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Compute k k=0 (cid:19) (cid:19) (cid:19) ( 1)k (cid:18)n (cid:18)n (cid:18)n (cid:18)n (cid:19) n(cid:88) (cid:1)xkyn k and substitute x = 1 and y = 1.

View Document## MATH 2001 Quiz: MATH2001 Quiz 2.1 2018 Winter

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Let s be a set with three subsets a, b, and c. suppose that x is an element of s. how many of the sets. Answer as precisely as possible: 1, 7, an even

View Document## MATH 2001 Quiz: MATH2001 Quiz 2.0 2018 Winter

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Let s be a set with n elements. How many ways are there to partition s into two subsets: 1, n, 2n 2, 2n, none of these. Let s be a set with n elements

View Document## MATH 2001 Study Guide - Quiz Guide: Irrational Number, Rational Number

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Prove by contradiction that the sum of a rational number and an irrational number cannot be rational. How many ways are there to rearrange the list (1,

View Document## MATH 2001 Quiz: MATH2001 Quiz 1.8 2018 Winter

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Compute(cid:0)100 (cid:1). (cid:1) <(cid:0)n (cid:0)n (cid:1): 99. 99: 100, 1 a b, true, false. For any positive integers n, a, and b with 0 < a < b <

View Document## MATH 2001 Study Guide - Quiz Guide: Pigeonhole Principle, Contraposition

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Suppose 0 < x1 < x2 < . < x11 < 1 are real numbers (listed in increasing order, and lying in the interval (0, 1)). Then there is some consecutive pair

View Document## MATH 2001 Study Guide - Quiz Guide: Empty Set

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How many partitions are there of the empty set: 0, 1, the answer is not de ned. How many distinct rearrangements are there of the letters of my name, j

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