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

Q: A ball is drawn randomly from a jar that contains 5 red balls, 7 white balls, and 4 yellow balls.…

A: From the given information, there are 5 red balls, 7 red balls and 4 yellow balls. The total number…

Q: Soccer Shootout In soccer, a tie at the end of regulation time leads to a shootout by three members…

A: From the provided information, the total number of players are 11.The required total number of ways…

Q: Find the sets A and B if A – B = {1, 5, 7, 8}, B – A = {2, 10}, and A nB = {3,6,9}. %3D

A:

Q: Tags in Delaware consist of 2 letters followed by 3 numbers it the letters can be repeated but the…

A: We can pick a letter in 26 ways.  So two letters can be picked in 26*26= 676 ways

Q: An artist has 11 paintings she wants to choose 4 paintings to hang side by side on a gallery wall…

A: Total no.of paintings=11

Q: Eight passengers from the United States aboard an international flight compared their travel…

A: Given Information: 8 passengers from the country US aboard an international flight compared their…

Q: Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple,…

A: Given,Total no.of colors=5 (red,blue,green,purple and yellow)

Q: The word "cut" in this lesson actually means "intersected by." O True False

A: We need to tell that the given statement is true or not.

Q: animal shelter lines up 9 cages in a row. 4 of the cages contain cats and 5 of the cages contain…

A: Consider all the 4 cages of cats as 1 unit of cage. &, Consider all the 5 cages of dogs as 1…

Q: For the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side…

A: Solution Given That, For the dinner special at a restaurant, the customer must choose an appetizer,…

Q: How many ways are there to draw three winners out of 200 people

A: There are total 200 people involved.  Here order for  selection is matter so we will use…

Q: three lotter tickets for first, second and third prizes are drawn from a group of 40 tickets. find…

A: given data select first, second and third prizes from a group of 40 tickets.

Q: The number of ways runners in a four-runner race can finish 1st, 2nd, 3rd and 4th is. Group of…

A: There is 4 position in four runner race.

Q: Freight Train Cars In a train yard there are 5 tank cars, 4 boxcars, and 10 flatcars. How many ways…

A: 5 tank cars 4 boxcars 10 flatcars How many ways can a train be made up consisting of 3 tank cars, 3…

Q: Dinner Selections How many ways can a dinner patron select 4 appetizers and 4 vegetabies if there…

A: Given : No. of appetizers = 9 No. of vegetables = 6

Q: Selecting Objects An urn contains 7 white balls and 3 redballs. Three balls are selected. In how…

A: An urn contains 7 white balls and 3 redballs. Three balls are selected. In how many ways can the3…

Q: A group of 10 people is choosing a chairman and vice chairman they put all 10 people's name in the…

A: It can be observed that the number of people in a group is 10.

Q: How many different ways can the ranks for the three of a kind and the pair in a full house hands be…

A: Selecting the rank for the three of a kind: There are 13 ranks in a standard deck of cards (2, 3, 4,…

Q: For a segment a radio show a disc jo

A: Given, for a segment a radio show a disc jockey can play 5 records if there are 8 records

Q: Fast answer please

A: 🔮 **NOTE: Here's the explanation only and examples for us to understand it better (Kindly disregard…

Q: **** There are different ways to select two objects at a time. (Type a whole number.) Explain why…

A: It is given that  Total objects = 8   Note: Combination formula: C(n,r) = nCr = n!/(n-r)!r!

Q: . Determine the number of distinguishable arrangements of shirts possible for the display.

A: George is creating a display table for a shirt sale. There are 15 total shirts to display one by…

Q: Give an example in the real numbers of a well ordered set. Then, give an example of a set that is…

A: A well-order (or well-ordering or well-order relation) on a set S is a total order on S with the…

Q: Number of basketball teams (five players) that can be formed from eight players. Note that a…

A: Permutations Rule:Number of ordered arrangement of r objects taken from n objects is denoted as nPr…

Q: Dinner Selections How many ways can a dinner patron select 4  appetizers and 3  vegetables if there…

A: 7  appetizers and  12 vegetables on the menu. dinner patron select 4  appetizers and 3…

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.