A company wants to create different pin numbers. For which method can the Fundamental Counting Principle be used to determine the number of the pin numbers? Select all that apply. O four-digit pin number for which digits can be repeated O four-digit pin number for which digits cannot be repeated O four-digit pin number for which digits can be used more than once O four-digit pin number for which the order of the digits does not matter O four-digit pin number for which the first and last digits are the same, and the order of the middle two digits does not matter

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: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A: Introduction: There are 4 digits to be selected for the game. Each digit can be any one between 0…

Q: How many 3-digit number greater than 200 can be formed (a) repetition not allowed (b) repetition…

A:

Q: How many seven-digit numbers can be formed with the first two digits odd and the last five digits…

A: The total number of digits from 0 to 9 is 10.

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A: i) All four digits are unique The probability is determined as below,…

Q: Suppose it is known that a box of 24 light bulbs contains five defective bulbs. A customer randomly…

A: Given data ,Total no of light bulbs=24No of defective bulbs=5∴No of non-defective…

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: 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: 17. It assumes an infinite number of possible values including the decimal between two counting…

A: #17 Here we have given the multiple choice question about the random variable. There 2 types of…

Q: To gain access to his account, a customer using an automatic teller machine (ATM) must enter a…

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: Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9…

A:

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

A: Find the smallest number n.

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

A: Here In the given there should be 20 students not 12 students since 3+6+11= 20

Q: 10. Nine women and twelve men are members of Computing Club at School of Computing, Universiti Utara…

A:

Q: Before 2012, National Football League (NFL) football games that were tied at the end of regulation…

A: Given information- Total no. of the coin toss has been taken = 460 Number of teams won the coin toss…

Q: The password consists of alphanumeric characters (i.e. letters or numbers) that distinguish between…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: 2. The board of directors of a corporation comprises 9 members. An executive board, formed by 4…

A: 2. Combinations: The number of combinations of r items selected from n items is, Crn=n!n-r!r!

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

A: The number of different ways to arrange a word:Consider the total number of letters in a word be…

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

A:

Q: Ten horses are entered in a race. If the possibility of a tie for any place is ignored, in how many…

A: given Ten horses are entered in a race. If the possibility of a tie for any place is ignored,   we…

Q: In a Power Ball lottery, 5 numbers between 1 and 12 inclusive are drawn. These are the winning…

A: It is given that, in a Power Ball lottery, 5 numbers between 1 and 12 inclusive are drawn. These are…

Q: A 4-digit number is selected from the numbers (1,2,3,4,5,6} where the digits are selected withou…

A: As per given by the question, there are given the numbers {1,2,3,4,5,6} and from these number select…

Q: Three Baltic countries(Lithuania, Latvia, Estonia) and 5 Scandinavian countries (Finland, Sweden,…

A: Number of Baltic countries = 3 Number of Scandinavian countries = 5 Number of North American…

Q: What is Apportionment? - total population divided by total representatives - the things being…

A: from the definition of Apportionment, Apportionment is the problem of dividing up a fixed number of…

Q: There is only one way for two people to be seated at a round table.In how many different ways can 4…

A:

Q: There are 12 eligible students where a delegation of 4 students is selected each year from a college…

A:

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

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: How many 4-digit pin codes can be made using the numbers 0 up to 9 if repetition is not allowed and…

A: Solution Total number of digits from 0 to 9 = 10

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: How many four-digit even numbers are possible if the leftmost digit cannot be zero? Repitition is…

A: The possible total ten numbers are {0,1,2,3,4,5,6,7,8,9}.Since the left most digit cannot be zero,…

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: How many words can be formed by permutation of the letters of the word DEPRESSION such that each…

A:

Q: How many three-letter code words can be constructed from the first nine letters of the Greek…

A: 60480 three letter code

Q: Recall that the Bandana Republic is apportioning M=160 congressional seats among four states.  The…

A: Given: The total number of seats are M=160. The provided data is:   Population Apure 3,310,000…

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: 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: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: According to the provided data, the user IDs are six, r characters long. The alphanumeric characters…

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.