Question

Sets and Counting: Problem Set 2 Directions 1. Solve the following problems. Hand write your solutions and explanations on your own paper. Do not write answers on this page. 2. Show your work AND explain your reasoning using complcte English sentences. Explanations must directly follow the solution for each part of the problem. You must write your name on the top right of the paper you turn in. 4. You must write the title of this problem set on the top of your paper 5. Turn in your solutions following the directions in the assignment information on Canvas. 3. 500 people are surveyed and asked to check the boxes that apply to them. a. I am confident in the economy b. I have health insurance. 1. 321 said they were confident about the economy, 403 said they had health insurance, and 63 checked neither box. Draw an accurate Venn diagram that represents the situation consisting of cardinalities. How many people had health insurance and were not confident in the economy? How many people had health insurance or are confident in the economy? [3 pts] a. b. [1 pt] [1 pt] c. Using the digits 0 through 9, find out how many 4-digit numbers can be configured based on the stated conditions: 2. The number cannot start with zero and no digits can be repeated. The number must begin and end with an odd digit. (Repeated digits are okay.) The number must be at least 5000 and be divisible by 10. (Repeated digits are okay) The number must be less than 3000 and must be even. No digits may be repeated in the last 3 digits. (That is, 2234 would be okay, but 2334 would not be okay.) [1 pt] b. [1pt] a. [1 pt] c. d. [2 pt]

Answer 1

500 a) a c Ju economy3 21 β= I hau health insuramu b)500 A +B - c Tn 500 181-C : Had haalth insuname and were net conlidend teconomy b-8-c = 403-287 116

Contidont m Had heal insuro economy a or AUB = A+B-c 321 + 403-281 - 431