Use the counting principle to determine the total number of possible outcomes. 1) A student takes a 3 question multiple-choice quiz. There are four options (A,B,C,D) for each question. In how many ways can the student answer the 3 questions? 2) A school district assigns each of their students a password that consists of three unique letters (no repetition), followed by three unique numbers (no repetition), and finally one symbol (@, !, #, $, %, or &) at the end. How many passwords are possible?

Q: In a race in which eleven automobiles are entered and there are no ties, in how many ways can the…

A:

Q: b) Use a counting technique to determine the number of possible routes from A o B: В А

A: According to the given information, it is required to solve part (b). It is required to determine…

Q: A company received a shipment of 41 laser printers, including 8 that are defective. 3 of these…

A: Given that , A company received a shipment of 41 laser printers   i.e. Number of sample space = S =…

Q: Thirteen people are entered in a race. If there are no ties, in how many ways can the first three…

A:

Q: 8. There are 18 mathematics majors and 325 computer science majors at a college. a) In how many ways…

A:

Q: An English class consists of twenty-four students, and five are to be chosen to give speeches in a…

A: An English class consists of twenty-four students, and five are to be chosen to give speeches in a…

Q: In a race in which eight automobiles are entered and there are no ties, in how many ways can the…

A: We have to find nom of ways to comes up first three positions.

Q: (b) In how many different ways can you order 1 cone and 2 scoops of ice cream which are not the same…

A: Given,  A motor pool contains 5 subcompact sedans, 4 compact sedans, and 3 midsize sedans.

Q: 3. a) How many ways are there to select three math help websites from a list that contains six…

A: Given that: a. 3 math help websites from 6 different sitesb. 3 cars and 4 trucks from 8 cars and 11…

Q: There are 12 athletes joining the Baguio Marathon Event. How many ways can the first, second, and…

A: Given that: There are 12 athletes joining the Baguio Marathon Event.  Tolat people = 12 By using…

Q: There are 18 math majors and 325 computer science majors at a college. Assume that there are no…

A:

Q: Use the fundamental counting principle to solve parts​ (a) and​(b). ​(a) In a certain​ state,…

A: Using the fundamental counting principle, it can be written that if there is a sequence of…

Q: Twelve people compete in a downhill ski race. Assuming that there are no ties, in how many different…

A: Solution: If there are n objects and are arranged with the order r, then the permutation should be…

Q: 6. A six-person committee composed of Alex, Ben, Connie, Dan, Ellen, and Frank is to select a…

A:

Q: A school plans to send 5 of the students on the Student Council to a student leadership conference.…

A: The number of students in grade twelve and grade eleven are 5, 10, respectively. We need to…

Q: In a state lottery, there are 14 finalists who are eligible for the Big Money Draw. In how many ways…

A: Given for distributing first prize we have 14 choices.

Q: Fifty women were assigned to receive an iron-fortified breakfast cereal with a banana, and 50 women…

A: Please see handwritten solution

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 4 coins. In how many ways…

A: To count the number of selections  under given conditions

Q: The Powerball lottery is played twice each week in 31 states, the District of Columbia, and the…

A: The number of red ball in the drum are 35. The number of white ball in the drum are 59. The number…

Q: 1a) The local FFA chapter has 13 members. The top five members of the club are ranked: 1st, 2nd,…

A: 1a)   Consider the function:   Given that:   The local FFA chapter has 13 members. The top five…

Q: in the word COPYRIGHTED, how many ways can you select three random letters?

A: As per Bartleby guideline expert have to answer first question only dear student please upload other…

Q: Use the Fundamental Counting Principle to determine the total number of outcomes for each scenario.…

A: The fundamental counting principle states that if there are p ways to do one thing, and q ways to do…

Q: a

A:

Q: A rowing crew of 4 rowers is to be selected, in order from the first seat to the fourth seat, from…

A: The number of different arrangements possible are calculated as shown below for each of the given…

Q: 4. A Graduation Committee consists of n students and 6 teachers. If there are 420 ways to select two…

A: It is given that  Number of students = n Number of teachers = 6 The number of ways to select 2…

Q: In a race in which ten automobiles are entered and there are no ties, in how many ways can the first…

A:

Q: 1: In a competition of 50 professional ballroom dancers, 22 competed in the fox-trot competition, 18…

A: As per our guidelines we can answer only one question. please repost other seperately.

Q: An election balot asks voters to select six city commissioners from a group of twelve candidates In…

A:

Q: Faculty at a certain university need to create a committee to evaluate the general studies…

A:

Q: A student may answer any six of ten questions on an examination. (a) In how many ways can six…

A: Given:  A student may answer any six of ten questions on an examination.To find:a)The number of ways…

Q: Seven cards are marked with the numbers 1, 2, 3, 4, 5, 6, and 7, then shuffled, and two cards are…

A:

Q: A student is to answer 10 out of 15 questions on a midterm test.         a. How many examination…

A: Given that  A student is to answer 10 out of 15 questions on a midterm test. Total number of…

Q: (5) A survey was done on a college campus to determine how many students owned a cell phone. Of the…

A:

Q: In a race between 18 people, how many ways can the top 5 finishers be arranged? O 1,028,160 8,568 O…

A:

Q: State if the scenario involves a permutation or a combination. Then find the number of…

A: Given that  The student body of 215 students wants to elect two representatives. since it involves…

Q: Use the definition of the Fundamental Counting Principle to answer this question. If there are m…

A:

Q: A survey of 350 people at a gym were asked about their preference in fruit.   192 like apples 63…

A: The Venn diagram for the given information is:

Q: A committee of four is to be selected from a group of twenty people. How many different committees…

A:

Q: In how many ways can first, second, and third prizes be awarded in a contest with 720 contestants?…

A: We have given that- We have to award first, second, and third prizes in a contest with 720…

Q: na student organization, there are 18 freshmen, 14 sophomores, 15 juniors and 22 seniors. 1. How…

A:

Q: An online company is offering a date night special: pick one movie from five choices, one restaurant…

A: With the given information, it is to be interpreted that one "movie", one "restaurant", and one…

Q: 1.) Suppose you are asked to list, in order of preference, the three best movies you have seen this…

A: NOTE: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: In a race and which six automobiles are entered and there are no ties, and how many ways can the…

A: Solution: From the given information, there are six automobiles.

Q: An electronics store receives a shipment of 30 graphing calculators, 8 that are defective. Four of…

A:

Q: Determine whether to use a permutation or combination to answer each question, and then determine…

A: Permutation rule:There are n different items and r number of selections and the selections are made…

Q: Based on each given problem, draw a tree diagram in the space provided. Then, use the Fundamental…

A: Given: The work "MAT". To find: Number of arrangements of 3 letters in the word "MAT".

Q: Apply the Fundamental Counting Principle (FCP) to solve for the following problems:  There are 3…

A: The fundamental counting principle is a rule that is used to count the total number of possible…

Q: b) Use a counting technique to determine the number of possible routes from A o B: В A

A: According to you we have to solve only part (b). Consider the provided diagram of part (b), The…

Q: I go to Panda Express and I select 2 different entrees from 13 possible choices for my meal. Which…

A: To select 2 different entrees form 13 possible choices for my meal.

Q: A new shopping center is accepting bids to rent spaces to stores. The first space has 10 stores…

A: A new shopping center is accepting bids to rent spaces to store. The first space has 10 stores…