Solve each problem using the given techniques in counting. 1.) In how many ways can 5 people arrange themselves in a row for picture taking? Give an example using either listing or tree diagram.

Q: | st 5. There are 10 horses in a race. In how many ways can one pick the top three finishers (1st…

A: 3 horses can be selected out of 10 in 10C3=120 ways. Therefore one can pick top three finishers in…

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

A: Given data: The total numbers of students are n=21. The numbers of student in the first group are…

Q: Use the counting principle to determine the total number of possible outcomes. 1) A student takes a…

A: Since you have asked multiple questions,we will solve the first question for you.If you want any…

Q: 6) Give an example of a counting problem where C + C, is the solution.

A: Suppose there are 8 numbers; 2 ,3 ,4, 5, 6, 7, 8, 9. In how many ways can you select 4 odd and 3…

Q: 1. Find the total possible amount of eight-digit palindromics. Also, how many nine-digit…

A: Since there are multiple questions, we will solve the first one. Post the question again and mention…

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Solution: Let L1 and L2 be the first two letters of a license plate.  For L1 we have 26 options…

Q: Use the Fundamental Counting Principle to solve the following problems. 1. A pizza can be ordered…

A:

Q: 4. If a license plate pattern is LLL NNNN where L is a letter and N is a number digit, how many…

A: Permutations: A permutation of different objects taken r at a time is an arragement of r out of the…

Q: How many numbers less than 100 can be formed using only even-numbered digits, and repetition of the…

A: Given that : How many numbers less than 100 can be formed using only even-numbered digits, and…

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: Suppose that n objects are to be colored with red, yellow, green and blue in a way that both green…

A: Given: Number of objects, i.e. n, and color used for coloring that object, i.e. red, yellow, green,…

Q: WRITE P IF PERMUTATION, WRITE C IF COMBINATION, WRITE FC IF FUNDAMENTAL COUNTING PRINCIPLE   1.…

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: Eight students (Anna, Brian, Carol, ...) are to be seated around a cir-cular table with eight seats,…

A:

Q: In how many ways you can arrange 3 books in a shelf? Give example of the books and show your answer…

A: To find - In how many ways you can arrange 3 books in a shelf? Listing method Tree Diagram…

Q: There are seven wires which need to be attached to a circuit board. A robotic device will attach the…

A: General formula for permutations is; Prn=n!(n-r)! Factorial is a function that multiplies a number…

Q: Use the Fundamental Counting Principle to solve:The model of the car you are thinking of buying is…

A: The given situation involves making choices between two groups i.e., Total choices in colors: 9.…

Q: Find the smallest counting number n such that /n× 25200 is a counting number.

A: Find the smallest number n.

Q: Use principles of counting for following problems How many ways are there to choose five donuts if…

A: 1).Given,            r=5,   n=8

Q: There are eight wires which need to be attached to a circuit board. A robotic device will attach the…

A: Given that  There are 8 wires which need to be attached to a circuit board  n = 8

Q: 2. How many different arrangements can be made by using all the letters of the word MATHEMATICS ? 3.…

A: Here use combination

Q: A combination lock uses three numbers between 1 and 46 with repetition, and they must be selected in…

A: Answer is option D

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

A:

Q: Use the counting technique: Combinations to solve the following problems: 1.- It is desired to…

A: Given information: 1. Total number of national team players = 11 Number of players to be interviewed…

Q: In a particular lottery, 8 winning numbers are drawn from a group of 53 numbers. The order that the…

A: Total numbers of lotteries are 53. The total winning number are 8.

Q: The Fundamental Counting Principle - If event M can occur in m ways and is followed by event N that…

A: We have to solve question based on The Fundamental Counting Principle

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

A:

Q: 5. Consider the counting question: how many ways can you give k kids n identical pieces of candy, so…

A: The objective is to determine the number of ways one can give k kids n identical pieces of candy,…

Q: Suppose any digit can be repeated, how many 4-digit PINs are possible if each PIN: a) must end with…

A: As per our guidelines, we are are allowed to answer only first question . Thanks   Suppose any digit…

Q: In how many ways can 5 students seat in a row in a picture taking 2. On a sunday morning you was…

A: here use fundamental of Counting Principle

Q: There are four wires which need to be attached to a circuit board. A robotic device will attach the…

A: If an event can occur in m different ways and if for each occurrence of the first event a second…

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

A:

Q: Answer all the questions. Super thanks! 1. From the counting numbers 1 to 20, in how many ways…

A:

Q: II.- Use the counting techniques: Permutations to solve the following problems. 1.- A train has 6…

A: Hi, we are supposed to answer one question at a time. Therefore, I am answering question -1. Please…

Q: 6. A pizza comes with a choice of crust( thick or thin), one meat topping (sausage, pepperoni, or…

A:

Q: Use the counting techniques: Permutations to solve the following problems. 1.- A train has 6 seats,…

A: Given information- We have given that a train has 6 seats. And 2 people are there. We have to find…

Q: ] 8. In a company telephone tree, each employee is to phone two other employees. In the first round,…

A:

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: Solve the problem by applying the Fundamental Counting Principle with two groups of items. How many…

A: If the 1st letter must be S or T how many 4 letter codes can be formed?

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

A: To find: 4​-digit counting numbers can be constructed from the digits {1,2,3,4}, if repetition is…

Q: 4. Find the answer to each counting problem below.(a) Suppose you own 13 distinct bow ties. You are…

A: (a) The number of ways to select tie for each day on a 5-day trip out of 13 different bow ties is,…

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits where…

A:

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: 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: Find the number of pairwise comparisons that would take place in an election with 13 candidates…

A:

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.