Match each word or phrase with the correct explanation. Permutation [Choose ] Combination [Choose ] Fundamental Counting Principle [Choose] or Fundamental Principle of Counting

Q: 3. This clock has been broken into three pieces. If you add the numbers in each piece, the sums are…

A: Our Aim to breakdown the clock into three pieces such that the sum of each piece of the three pieces…

Q: DIRECTION: TRUE OR FALSE. 1. Combination is a counting technique that refers to the selection of…

A: DIRECTION: TRUE OR FALSE: 1. Combination is a counting technique that refers to the selection of…

Q: euestion 3 There are 85 number of ways to select 6 people out of 10, of which a particular person is…

A: in this question, we have to select 6 people out of 10 people in which a particular person is not…

Q: How many ways can we choose 3 numbers from the set (1, 2, 3, 4, 5, 6, 7) (The order we choose…

A: Permutation:   It is nothing but the arrangement of items in a definite order where the order is…

Q: explain what is Exclusive/independent   and    Inclusive/dependent ?

A: An independent event is that event which occurs without being affected by other events.  Let X and Y…

Q: Classifying Numbers. Choose the first set in the list natural numbers, whole numbers, integers,…

A: Natural numbers - natural numbers are those real numbers that starts from 1 . example -…

Q: 4. Singleton 5. Universal set

A:

Q: There are many variations of this game. The primary variation allows you to win if the four digits…

A: Given, We pick a 4 digit number Available digits are 0 to 9 => 10 digits Probability of picking a…

Q: Seven cards are drawn from a standard deck of 52 cards. How many hands of seven cards have exactly…

A: A standard deck consists of 52 cards out of which there are 13 cards for each suit (spades, clubs,…

Q: How many different pizza’s can somebody order if he orders a pizza with either 2 or 3 toppings.…

A: It is given that there are 25 different toppings to choose from. n=25

Q: Using only the digits { 1, 2, 3, 4, 5, 6} how many three digit numbers can be formed under the…

A: The first digit has 4 options which are, 1, 2, 3, 6. The second digit can have 5 options (one option…

Q: involving the assignment of tasks to the men and women of a committee. Assume that you have a…

A:

Q: Create an example of a permutation and a combination (one of each) and use them to communicate the…

A: Solution: Robert wants to color his three triangles with different colors. He has a total of 12…

Q: A lottery game consist of giant five the sinkhole numbers from the numbers 1 through 66 In any…

A:

Q: DIRECTION: DEFINE IF THE FOLLOWING ARE TRUE OR FALSE. 1.URN and NUR are permutations of the letters…

A: URN and NUR are permutations of the letters of the word RUN. The statement is true because the…

Q: entify a pattern in this list of numbers. Then use this pattern to find the next number. (More than…

A: 1,3,7,13,21,31, 3-1 = 2 7-3 = 4 = 2+2 13-7 = 6 = 2+2+2 21-13 = 8 = 2+2+2+2 31-21 = 10 = 2+2+2+2+2…

Q: 4. This exercise is about combinatorics. ) possible (a) Recall that if we pick k elements from an…

A: 4.a  There are 7 numbers correct in a Finnish lottery out of total 40 numbers from 1 to 40. Now, the…

Q: 67 in any order. Then one more number from the numbers 1 through 27 is selected as the final number…

A:

Q: REASONING 6. Consider the set of all integers from 1 to 10, i.e. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, to…

A: GIvenS={1,2,3,..,10}A={2,4,6,8,10}B={3,6,9}A∩B={6}To find 1)n(A) and n(B)2)To determine true or…

Q: ngle, a double, or a triple burger. You also have a choice of whether to include pickles, mustard,…

A: Heinz's Burger Place Size Single Double Triple   Extra Toppings Available Pickles…

Q: A secretary & a treasurer of a club are to be selected from 4 different members. How many ways can…

A:

Q: Create an example of a permutation and a combination (one of each) and use them to communicate the…

A: Given: The objective is to communicate the connection between permutation and combination with an…

Q: 1) How many different 10 words can be formed using all the letters in the word REARRANGED? 2) How…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: To prove the Well-Ordering Principle, we need to assume the truth of which one of these principles?…

A: The well-ordering principle says that the positive integers are well-ordered. An ordered set is said…

Q: Define circular permutation. Write the formula to find the circular permutation of “X” different…

A: Permutation and combination are 2 methods in mathematics. Permutation deals with the number of ways…

Q: Number of ways to put 3 toppings on your pizza with a choice of 8 toppings. a. Permutations b.…

A: We have to find out no of ways for given data..

Q: The possible ways to complete a true-false examination consisting of 28 questions Use the counting…

A: Given that a true-false examination consists of 28 questions. We have to use counting principle to…

Q: Combination or Permutation?

A: Forming triangle from 5 noncollinear points is just selection of 3 points out of 5 here order doen…

Q: Prime numbers have recently grabbed the attention of, not only mathematicians but also computer…

A: First of all , Let see definition of Prime numbers we know that A natural number which is greater…

Q: Counting numbers are to be formed using only the digits 6, 7, and 8. Determine the number of…

A: The total number of ways for an action consisting of two or more actions is just the product of…

Q: Fundamental Principle of Counting 1. A men's department store sells 3 different suit jackets, 6…

A: We have to find no. Of ways to arrange suits.

Q: Explain the Fundamental Counting Principle. Answer in complete sentences. Include an example of when…

A: We have to explain fundamental counting principle with an example.

Q: Number of ways you can pick a password of 5 letters with all different letters. a. Permutation b.…

A: See the handwritten solution

Q: II. COMBINATION A. A major Lottery game called 6/58 is very famous in the Philippines. A lucky…

A:

Q: (Counting) We want to create passwords, where each password is omposed of 7 digits. Recall that the…

A: We will answer the first question. Please resubmit the other question separately to be answered.

Q: A password is a string of length 5, each character of which is from the set (x,y,z) of letters.How…

A: There are 3 letters and the password is a string of length 5 characters. When the password uses all…

Q: An integer is chosen from first 68 positive integers. Find probability that the integer is 1.…

A: Given: The number of positive integers is N=68. Let A be the event representing the integers that…

Q: Classifying Numbers. Choose the first set in the list natural numbers, whole numbers, integers,…

A: Whole Numbers - Whole numbers are those that starts from 0.ex = 0, 1, 2, 3,…

Q: standard deck of 52 cards and laid out in a row on a table. In how many ways can this be done such…

A: Solution of the problem as follows

Q: Customer account numbers for a certain company consist of 2 letters followed by 2 single digit…

A:

Q: In ________________ draws from the box, there is more than 50% chance for a red marble to appear at…

A: Here Given  No of red marbles=2 No of Blue marbles=98

Q: DIRECTION: TRUE OR FALSE. (answers only) 1. Combination is a counting technique that refers to the…

A: As per Bartleby guidelines, when more than 1 question is asked , only first should be answered. And…

Q: Identify a pattern in this list of numbers. Then use this pattern to find the next number. (More…

A:

Q: A lottery game consists of drawing five distinct whole numbers from the numbers 1 through 67 in any…

A: Given No of the draws happens only Wednesday and Saturday Jackpot worth 40$ million Find select five…

Q: A restaurant manager is listing 9 items on a menu. Of these menu items, 2 are appetizers and 7 are…

A:

Q: A deli offers 6 different toppings. You are allowed 4 different toppings. In other words, you can't…

A:

Q: involving the assignment of tasks to the men and women of a committee. Assume that you have a…

A: The formula for combination is C(n, r) = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: utility bill will be reduced by at least one - i) form of five installations l at least four of five…

A: Given: p=0.60 n=5

Q: Consider a series of events. (a) How does a tree diagram help you list all the possible outcomes of…

A: (a) Tree diagram:Tree diagrams is used to show all the possible outcomes of an event. Each branch in…

Q: State about the fundamental counting principle

A: Given: The objective is to explain about the fundamental counting principle.

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.