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• ### please provide the answers clearly 1. In a primary election, there are 4 candidates for mayor,...

please provide the answers clearly 1. In a primary election, there are 4 candidates for mayor, 5 candidates for city treasurer, and 2 candidates for county attorney. (a) In how many ways may voters mark their ballots if they vote in all three of the offices? (b) State which theorem from the text is applicable to solving part (a) (c) In how many ways can a person vote if exercising the option to vote for any or all of these...

• ### please provide the answers clearly 7. Suppose a Truc-False test has 20 questions (a) In how...

please provide the answers clearly 7. Suppose a Truc-False test has 20 questions (a) In how many ways may a student mark the test, if 6 questions are scored correctly and 14 incorrectly? (b) State which theorem from the text is applicable to solving part (a) (c) In how many ways may a student mark the test, if 10 questions are scored correctly and 10 incorrectly? 8. A baseball fan has a pair of tickets to 5 different home games...

• ### please provide the answers clearly 9. A television director is scheduling a certain sponsor's commercials for...

please provide the answers clearly 9. A television director is scheduling a certain sponsor's commercials for an upcoming broadcast. There are eight slots available for commercials. In how many ways may the director schedule the commercials (a) If the sponsor has eight different commercials, each to be shown once? (b) If the sponsor has four different commercials, each to be shown twice? (c) If the sponsor has three different commercials, the first of which is to be shown five times,...

• ### Suppose we want to choose 4 letters, without replacement, from 17 distinct letters. (a) How many...

Suppose we want to choose 4 letters, without replacement, from 17 distinct letters. (a) How many ways can this be done, if the order of the choices is not taken into consideration? x 6 ? (b) How many ways can this be done, if the order of the choices is taken into consideration? A teacher wanted to fairly choose three students from a class of 24 to raise the school's flag. He assigned each student a two-digit number from 01...

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• ### 1.How many possible orderings of letters ABCDEFG are there? 2.How many strings of length 4 can be made using the letters...

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Please provide the answers clearly 9. Suppose that you want to follow your best friend's band around their tour of midwestern cities during your spring break. However, the shows are outside, so if the weather isn't good enough then the band won't play. Based on the weather forecast, the probability that the band will play in Omaha & St. Louis is 0.45 Omaha is 0.70 Omaha && Chicago is 0.42 St. Louis is 0.64 Omaha & Minneapolis is 0.41 Omaha...

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• ### please write clearly. thanks Part I. For questions 1-10, use only the sum, product and division...

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