In how many ways you can arrange 3 books in a shelf? Give example of the books and show your answer through the following: 1.) Listing method 2.) Tree diagram 3.) Fundamental counting principle

Q: 3. A child wants to draw a picture using only three different colors from a set containing twelve…

A: No.of different color pencils, n = 12 No.of different colors use to draw a picture, r = 3 The…

Q: In how many ways is it possible to elect a president, a vice-president, a treasurer, and a secretary…

A: Given Data: The total number of members in the club is: n=43 From the given club a president, a…

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

A:

Q: 7. Your English teacher asked you to read 3 books from a list of 10. In how many ways can you choose…

A: Given: We have given a list of 10 books.

Q: Solve each problem using the given techniques in counting. 1.) In how many ways can 5 people…

A: Note: As per bartleby guideline for more than one question only first is to be answered please…

Q: show possible outcome of flipping 2 coins at the same time using a tree diagram

A:

Q: nfirmation code consists of five letters followed by two digits, all of which can be repeated. Which…

A: For selecting 5 letters out of 26  we need combinations  For selecting 2 numbers out of 9 also we…

Q: If 15 people won prizes in the PCSO lottery (assuming that there are no ties), how many ways can…

A: Solution: From the given information, there are 15 people.

Q: How many permutations can be made to 10 pocalettes (small coconut shells) in designing the edge of a…

A:

Q: Identify as a Permutation, Combination, or Fundamental Counting Principle problem. The model of the…

A: We have 9 ways(m=9) of selecting one colour from 9 different colours of car, and we have 3 ways(n=3)…

Q: 1.In how many ways can 7 floats line up for the homecoming parade? Circle one: Counting Principle…

A:

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: Three circular cardboard disks have numbers written on the front and back sides. The front sides…

A: Consider the provided question, Suppose the back side number are x, y and z. Disk      Front…

Q: A committee of 5 students is to be selected from 16 students in a fraternity. a. In how many ways…

A: Given that a committee of 5 students is to be selected from 16 students in a fraternity. a We have…

Q: How many different groups can be formed for arranging 11 books on a bookshelf?

A: first book can be arranged =11 second book can be arranged =10 third book can be arranged =9 .. ..…

Q: 1. The Fundamental Counting Principle says that if one event can occur in m ways and a second event…

A: To fill in the blanks.

Q: answer the following questions using the appropriate counting techniques, which may be either…

A:

Q: 1-23. How many ways are there to select 3 candidates from 8 equally qualified recent graduates for…

A: 1-22 Let the teachers is A,B,C,D,E,F The sections are 1,2,3,4 Then, B takes section 1, E takes…

Q: how many arrangements of the letters from the word COUNTING begin with a vowel

A: C = 1  O = 1 U = 1 N = 2 T = 1 I = 1 G = 1 __________________ Total = 8 __________________ Vowels =…

Q: If eight people greet each other at a meeting by shaking hands with one another, how many handshakes…

A:

Q: Answer the following question using the appropriate counting​ technique, which may be either…

A:

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

A:

Q: (a) How many committees can be formed? (b) How many committees can be formed with at least 2 men?…

A: here total 8 men and 7 women that is 15 employees in office committee of 4 member has to be formed…

Q: 1.A club with 15 members will choose 3 of them to attend a meeting. In how many different ways can…

A: Given that there are total 15 members and we will choose 3 of them. Since we will pick 3 persons in…

Q: . How many ways can you flip a coin and roll four-sided tetrahedron dice? Draw the tree diagram in…

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

Q: a) Using all the letters of the word MATHEMATICS, determine how many distinguishable arrangements…

A:

Q: Four cards are drawn from a deck without replacement. The getting all are hearts is

A: Total heart cards = 13 Total number of card in a deck = 52

Q: a committe of four people is to be chosen from a nine member group to represent the group on an…

A: a committee of four people is to be chosen from a nine member group to represent the group on an…

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: Note: As per the guidelines, we are only allowed to solve 1 question at a time, please post the…

Q: In the 6/55 lottery game, a player picks six numbers from 1 to 55. How many different choices does…

A: In the 6/55 lottery game, the number of different choices players have is calculated as shown below…

Q: A tablet, a yo-yo, and a box of chocolates will be given to 3 randomly picked people out of 25 who…

A:

Q: Twelve jewels of different color will be arranged to form a clock. Find the number of possibilities.

A: We have given 12 of different color and we have to make arrangements.

Q: 3​-digit counting numbers can be constructed from the digits {1,2,3,4} if repetition is not allowed.…

A:

Q: In a certain lottery the player chooses 5 numbers from the numbers 1 through 38. In how many ways…

A: The number of numbers chosen by player is 5.

Q: 8) In a track meet, ten runners compete for first, second, and third place. How many different ways…

A: Correct answer is =  3! * 103 = 6 * 10*9*83*2*1 = 720

Q: If you drew a tree diagram showing how many ways 8 different coins could be flipped, one after the…

A: I'm this question like if we flip one coin then there are two outcomes H or T so that's the two…

Q: How many palindromes (i.e., words that read the same forward and backward) can we make from the…

A: Given, REDIVIDER is a palindrome.

Q: From 30 interested people, how many ways to register 5 teams of 4 for a contest(the remaining 10 do…

A: It is given that from total 30 interested people, 5 teams are to be registered for a contest with 4…

Q: Suppose a lawyer select 4 jurors from the set of 6 candidates? How many groups are possible?

A: From the provided information, The total candidates = 6 The lawyer selects 4 jurors from 6.

Q: 10. A lobby has a list of 100 senators of the United States. In order to determine the Senate's…

A: Given :

Q: Use permutations,combinations, the fundamental counting principle, or other counting methods, as…

A: From the information, there are 21 students in the class and they are divided in to 3 sets 1st set 3…

Q: A classic counting problem is to determine the number of different ways that the letters of…

A: The letter Recommend can be arranged  Total no of letters = 9 e is repeated 2 times m is repeated 2…

Q: Create a Fundamental Counting Principle problem and determine the number of ways it can be…

A:

Q: If 15 people won prizes in the state lottery (assuming that there are no ties), how many ways can…

A: Given that there are 15 people who won prizes in the state lottery. There are 5 prizes available.

Q: Consider a bracelet that is made up of 12 different charms. In how many ways a designer can design…

A: AS PER BERTLEBY GUIDELINES, WE ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE QUESTIONS ARE…

Q: In how many ways can a group of 5 students be picked from a class of 14 students to represent the…

A: There are total 14 students.  We will pick a group of 5 students from them.   Since it is a group,…

Q: Use​ permutations, combinations, the fundamental counting​ principle, or other counting​ methods, as…

A: We have to find no of ways  can a class ofseventeen students be divided into three sets so that four…

Q: Use​ permutations, combinations, the fundamental counting​ principle, or other counting​ methods, as…

A: Given Data: The number of students in the class is: n=15 The number of students in the first set is:…

Q: Determine how many 3​-digit counting numbers can be constructed from the digits {1,2,3,4} if…

A: Determine how many   3​-digit  counting numbers can be constructed from the digits  {1,2,3,4} if…

Q: 2. A student can choose a computer project from one of three lists. The three lists contain 5, 10,…

A: This is a simple straightforward question. A student can chose one computer project from  one of…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.