A geography test consists of fifteen ​true-false questions followed by six ​multiple-choice questions, which contain three

Q: Both of my friends Abu and Deps will be part of the group? Only one of them will be part of the…

A: Here use combination for given problems

Q: A quiz consists of 3 true-or-false questions.  In how many ways can a student answer the quiz?

A: Given that there are 3 true or false questions. Each question has 2 possible outcomes. That is true…

Q: A group of four students studying for a bar exam has formed a study group. Each member of the group…

A:

Q: A test requires that you answer first Part A and then either Part B or Part C. Part A consists of 4…

A:

Q: Professor Easy's final examination has 14 true-false questions followed by 3 multiple-choice…

A: Given:- Professor Easy's final examination has 14 true-false questions followed by 3 multiple-choice…

Q: A test consists of 15 questions. Ten are true-false questions, and five are multiple-choice…

A: From the given information, A test consists of 15 questions. There are 2 ways to answer each…

Q: The results of an interview of 200 students indicate that 107 like GE Math; 112 like GE Arts; 94…

A: Here Total = 200 29 do not like any subject. So now total = 171 It can be solved by venn diagram…

Q: If there are six toppings available, then the number of different pizzas that can be made is 25, or…

A:

Q: The college decided that a more secure password system is needed. New passwords must have 3…

A: Here, the password consisting of 3 digits followed by 3 letters. There are 26 possible alphabetical…

Q: You are randomly selecting your friends to go with you to dinner. You can bring 3 friends, but you…

A: In this question it has been asked to find out the probability of choosing 7 friends who will not be…

Q: 1. If a test contains 7 true or false questions, how many ways can a student answer the questions on…

A: 1)   7 True or False  Each questions has two choices  Two questions has 2×2 choices  Similarly 7…

Q: A test consists of 14 questions that are divided into three sections. There are 6 questions in the…

A: A test consist  14  questions  Test is divided into three sections First section have 6 question…

Q: 2. A student did not study for Philosophy quiz which consists of 10 true or false questions. If the…

A: Introduction: It is required to find all possible number of answers that can be given to the true or…

Q: A baseball team has 5 left-handed and 12 right-handed hitters and 3 switch hitters (either left or…

A:

Q: In a survey of 60 people, it was found out that 25 read Manila Bulletin, 26 read Philippine Daily…

A: Given information : Total number of people = 60 Number of people who read Manila Bulletin = 25…

Q: A basketball team has 12 players on it. In how many different ways could a 5-player starting lineup…

A:

Q: At an international conference, flags from 9 different countries will be displayed. Of these flags,…

A: Given : Flags of 9 different countries are available,which 5 flags are from Asia countries and 4…

Q: An online mobile game tournament was facilitated and begins with 1024 Each game has four (4)…

A: Given: Total players = 1024 Total players in each team = 4

Q: How many four​-digit numbers may be formed using elements from the set​{1, 2, 3, 4, 5, 6, 7, 8​} if…

A:

Q: The "Pick 3" at horse racetracks requires that a person select the winning horse for three…

A: Given information: The first race has 12 entries, the second race has 7 entries and the third race…

Q: The math club has seven members and will choose a team of three to send to a competition. The…

A: Given that the math club has 7 members and will choose a team of 3 to send to a competition.  The…

Q: At a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door…

A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!

Q: Of 13 students in a class,4 will be chosen to go on a felid trip.how May different ways can they be…

A: Combination of number of objects is their arrangement without considering the order while…

Q: The new license plates consists of three alphabet letters followed by three digits.  How many…

A: Given: A license plate consists of three alphabet followed by three digits. The objective is to…

Q: history teacher gives a 14-question true-false exam. In how many ways can the test be answered if…

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Q: ee has 9 members, consisting of 5 Republicans and 4 Democrats. An education group of 3 members is…

A: n= 9 R = 5 D = 4 Using the combination formula. Ways of selecting 3 members from 9 are:

Q: Cikgu Yati asked five of her pupils how many of the five of them had studied the day before. Jimmy…

A: Consider Jimmy for once, if he would have been telling the truth then no one including Jimmy would…

Q: ) Students need to answer 8 out of 10 questions in mathematics exam. In how many ways can a student…

A:

Q: A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: are 12 members in the local garden club. In how many ways can a president and secretary be chosen…

A: According to the sum, There are 12 members in the local garden club.  A president and A secretary…

Q: A test consists of 12 questions that are divided into three questions. There are 5 questions in the…

A: Given: Questions in first section =3 Questions in second section =2 Question in third section =1

Q: Professor Tough's final exam has 20 true/false questions followed by 3 multiple choice questions,…

A: Given  Professor Tough's final exam has 20 true/false questions followed by 3 multiple choice…

Q: A child wants to pick 5 balloons from a set of 6 blue and 5 red balloons. Number of ways for picking…

A: Number of blue balloons = 6 Number of red balloons = 5

Q: A woman wants to select 5 pair of shoes from six pairs of red shoes, 4 pairs of white shoes and 3…

A: Pair of shoes women want is 5. Pair of red shoes is 6. Pair of white shoes is 4. Pair of black shoes…

Q: A 5 character pass code is made up using choices from 4 different letters and 10 different numbers.…

A:

Q: A True/False quiz contains six questions. In how many ways can a student answer the questions if the…

A: It is given that the true or false quiz contains six questions. The student answers two of the…

Q: How many three-letter "words" can be made from 6 letters "FGHIJK" if repetition of letters (a) is…

A: Given 6 letters is "FGHIJK"

Q: Mr. James is the moderator of a school organization consisting of 12 people. Of those 12 people, 5…

A: Given information:- Mr. James is the moderator of a school organisation consisting of 12 people. Of…

Q: 1. If a test contains 14 true or false questions, how many ways can a student answer the questions…

A:

Q: After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they…

A: First determine which age group liked the movie more. To do this, compare the percentages of people…

Q: From a group of 28 students, how many ways can all 28 of them stand in a line [Choose ] three of…

A: a)   in (28)! ways.  b)  in 19656 ways.  c)  in 3276 ways.

Q: How many nonsense words of 3 letters can be formed from the letters c, d, e, f and g if a.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: How many strings of ten English letters are there that start with AB and end with Y Z and contain at…

A:

Q: Of the first 5 vehicles in the teacher’s parking lot last Tuesday, 2 of them were minivans. Based on…

A: 48

Q: A club will be selecting a committee made up of 4 members. There are 12 eligible members to select…

A: Given no of eligible candidates=12  Size of committee =4  To find no of ways to make a committee…

Q: A test requires that you answer first Part A and then either Part B or Part C. Part A consists of 6…

A: Given, A test requires that you answer first Part A and then either Part B or Part C. Part A…

Q: If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is…

A: a) Since each question result in four different ways  The number of ways is multiplied by a number…

Q: A pizza shop has 16 different toppings available for their pizzas. How many different possible…

A: Given: A pizza shop has 16 different toppings available for their pizzas. Each pizza contains 3…

Q: There are 22 members of a basketball team. (1) The coach must select 8 players to travel to an away…

A: Solution

Q: The number of ways can a teacher choose one or more students from six eligible students is 63. False…

A: According to the given information, it is required to tell whether the given statement is true or…