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Topics in Finite Mathematics

by: Zechariah Hilpert

Topics in Finite Mathematics MATH 210

Zechariah Hilpert
GPA 3.8

Seth Case

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Seth Case
Class Notes
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This 1 page Class Notes was uploaded by Zechariah Hilpert on Thursday September 17, 2015. The Class Notes belongs to MATH 210 at University of Wisconsin - Madison taught by Seth Case in Fall. Since its upload, it has received 13 views. For similar materials see /class/205277/math-210-university-of-wisconsin-madison in Mathematics (M) at University of Wisconsin - Madison.

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Date Created: 09/17/15
Worksheet 2 Chapter 23 Math 210 Spring 2007 Problem 1 Having forgotten to do laundry over the weekend Big Mike nds on Monday morning that he only has a red Tshirt a blue polo and a 77Gators77 shirt shorts jeans black pair of socks and a white pair of socks a Draw a tree of all possible out ts that Big Mike could wear on Monday b If Mike was in a hurry and just randomly grabbed 3 items out of his closet what is the probability that what he grabs makes a complete out t 9 V Suppose Mike wanted to wear a different distinct out t every day until next Monday does he have enough out ts to do that d What if both pairs of Mike7s socks are white Does he still have enough out ts to make it through the week Problem 2 Grow Version 2 is a online game where you click on objects on the side of the screen and the objects then appear in the center of the screen and grow and interact with each other For this game there are six objects on the side of the screen cube rectangle sphere cone oval cylinder You may click on the items in any order that you like but there is only one correct order to win the game What is the probability that if you randomly click on the objects that you will discover the correct order to win the game What if you knew the rectangle had to be one of the rst four items that you click on How does that change your probability What if you knew that the cone had to come immediately after the sphere How about if the the cone just had to come some point after the sphere Problem 3 Throw a unweighted fair green die and a red die a What is the probability that you will get a 6 on the green die and a 3 on the red die b What is the probability that the number on the green die will be more than the number on the red die List the sample space it that case c What is the probability that the sum of the num ber on the green die and the sum of the number on the red die is 8 d What is the probability that the sum is at least 9 Problem 4 Suppose we have a group of 100 people 40 men 60 women How many ways are there to a b Select 4 to be in a special committee Select 4 people to be president vicepresident secretary and treasurer 9 V Select a 10 person committee and two of those ten to be the chairs of the committee EL V Select 15 women and 10 men to form a group e Select 4 people so that at least two of them are women


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