please provide the answers clearly
please provide the answers clearly 4. How many distinct permutations are there of the letters in...
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 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 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 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...
Counting subsets 4. (a). How many ways are there to rearrange (all of) the letters of SPIDERMAN so that all of the consonants appear in alphabetical order (not necessarily consec- utively)? (b). How many ways are there to rearrange (all of) the letters of SPIDERMAN so that the word PRIDE appears together as a word somewhere? (c). How many ways are there to rearrange (all of) the letters of SPIDERMAN that begin and end with a vowel? (d). How many...
1.How many possible orderings of letters ABCDEFG are there? 2.How many strings of length 4 can be made using the letters ABCDEFG? 3.How many subsets of size 4 are there of the letters ABCDEFG. 4.How many possible strings are there of the letters "MATTER"? 5.Consider four books: an engineering book (E), a physics book (P), a history book (H), and an Art book (A). Consider the following problem: Suppose that the library has at least six copies of each of...
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...
1. A State issues car license plates with three letters followed by three numbers (for example, FGH831 or BBB222). How many different license plates are possible? (Note that letters or numbers may repeat in the license plate. Hint: Use the Fundamental Counting Rule for this question.) There are five students who are interested in presenting their final project to the class, but there is only time for three presentations. The five students are Amy, Bob, Chun, Dan and Ed. 2....
please write clearly. thanks Part I. For questions 1-10, use only the sum, product and division rules or a tree diagram to solve the problems. 1. Six different airlines fly from New York to Denver and seven fly from Denver to San Francisco. How many different pairs of airlines can you choose on which to book a grip from New York to San Francisco via Denver? 2. How many bit strings of length ten both begin and end with a...
TO SU Part 1: Probability were cay 1. A question on a multiple-choice test has 10 questions each with 4 possible answers (a,b,c,d). a. What is the probability that you guess all the answers to the 10 questions correctly (carn 100%)? 2. If you ask three strangers about their birthdays, what is the probability a. All were born on Wednesday? b. What is the probability that all three were born in the same month? c. All were born on different...