answer the following questions using the appropriate counting techniques, which may be either arrangements with repetition, permutations,or combinations.Be sure to explain why this counting technique applies to the problem. How many different six-character passwords can be formed from the lowercase letters in the alphabet.

Q: How many ways are there to choose four aces from a standard 52-card deck? How many ways are there to…

A: There are 52 cards in the standard deck of cards

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: In the BS Lottery, players choose 5 numbers out of 30. They win if they choose the same 5 numbers as…

A: In the BS Lottery, players choose 5 numbers out of 30.

Q: An experiment involves tossing five coins. How many elements are there in the domain?

A:

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: 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 can the children in ms. varner's class tell if there is an even or odd number of children in the…

A: The children's are :

Q: In a given year we insure 18 million vehicles. During that same time we had 1,368,0000 claims. What…

A: Number of vehicles insured: 18million=18000000 Number of claims=13680000

Q: What chart shows a skip counting pattern with the rule add 4?

A: Given skip counting pattern is the rule to add 4. In option A: Starting from 4, when 4 is added to…

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: Identify the situations in which the Fundamental Counting Principle can be used. Select all that…

A:

Q: Write down the definition of elite primes in mathematical terms.

A: To define Elite prime numbers.

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

A:

Q: 1. To create an entry code for a push-button door lock, you need to first choose a letter and then,…

A: 26000 codes can be created

Q: Apply the Fundamental Properties of Counting or Permutation to solve for the following problems.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: How many ways are there to select six students from a class of 25 to hold six different executive…

A:

Q: Determine whether the following problem involves a permutation or a combination and explain your…

A: Given: To analyse the permutation or a combination is present in The different 7-letter passwords…

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: 1.) Answer the following counting questions. a.) Out of a group of 7 individuals, in how many ways…

A: Given,Total no.of individuals =7

Q: How many permutations can be made out of the letters of the word ENGINEERING? Select the correct…

A: I have solved and find that third option is correct.

Q: How many distinct arrangements of the letters in the word FOOTBALLLERS are possible? 40,320,100…

A: We have to find the distinct arrangements of the letters in the word FOOTBALLLERS.

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

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: An election ballot asks voters to select five city commissioners from a group of fourteen…

A: It is provided that in an election 5 city commissioners are selected from a group of 14 candidates.

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

A:

Q: Please answer the following questions with details on how to do it. Thank you.   1.Answer the…

A: From the given information we find the solution

Q: How many different committees are possible?

A: Given

Q: 3. The English word DERMATOGLYPHICS means the Study of Fingerprints. How many 5 letter arrangements…

A: The number of letters in the given word is 15.

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

A:

Q: Review the counting of arrangements.  When selecting a debit card PIN number 4 digits are required.…

A: Ans- When selecting a debit card PIN number 4 digits Total number of digits {0,1,2,3,4,5,6,7,8,9}

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: Use the Fundamental Counting Principle to solve. An ice cream store sells 5 drinks, in 5 sizes, and…

A: Given data,No of drinks =5No of sizes =5No of flavours =3In how many ways can a customer order a…

Q: How many ways can the word SENSITIVE be rearranged to form a pass-code?

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: 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: 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: a) How many different three-of-a-kind regular poker hands are there? b) How many different…

A: a) The number of three of a kind hands is computed here as:

Q: What is the standard divisor when the total population is 120,000 and the representatives needed is…

A: From the provided information, Total population = 120000 Number of objects = 60

Q: A combination lock uses three numbers between 1 and 36 with repetition, and they must be selected in…

A: 1.) Here, three numbers are used between 1 to 36 with repetitions. The all possible ways in which a…

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: 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: State the basic counting rule (BCR).

A: Basic counting Rule (BCR) states that if there are m ways of doing one thing and n ways of doing…

Q: In the BS Lottery players choose 6 numbers out of 30. They win if they choose the same 6 numbers as…

A:

Q: Determine whether the following problem involves a permutation or a combination and explain your…

A: Combinations: It defines the number of possible ways an object can be selected from a group. In…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.