A pile of logs is arranged in a number of tiers, where the number of logs in the upper layer and the lower one is always 3 different trees. If the log in the top floor cotains 35 logs and the botton floor cotains 92 logs, figuare out how many racks are placed together?

Q: Assume that the camper has 6 jackets, 3 sleeping bags, and 13 different packages of food. An outfit…

A: It is given that the number of jackets is 6, the number of sleeping bags is 3 and the number of…

Q: Laura is on vacation and has packed 4 blouses that a red, green, blue and yellow. She has 2 pairs of…

A: We have to draw tree diagram for given event.  Total possible outcomes = (4)(2)(2)= 16

Q: how many student have seen none of these movies and how many have seen 2 or more?

A: Given that 18 had seen The Matrix(M)24 had seen Star Wars (SW)20 had seen Lord of the Rings (LotR)10…

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: Imagine a game show on television where one lucky contestant is presented with three upside-down…

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

Q: Examine the formation of the students below. If the pattern continues up to the 50h row, how many…

A: Given that:

Q: In volleyball, players on the same team rotate through all positions so no particular player is…

A: The total number of players are 12. The team formed should be of 6 players. Therefore, 6 players can…

Q: We are selecting seven CDs out of twelve to take to the mountains. How many possible selections are…

A: Given information No of total CDs n = 12 No of CDs we have to select r = 7

Q: 8) Use strip diagrams to help answer the question. A media company sells 3 times as many newspapers…

A:

Q: There are 4 purple plates and 4 blue plates? How many different ways can the plates be stacked? Two…

A: see the hand written solution:

Q: Use a tree to show the parent-child relationships in the following family. Angela has two sons, Eli…

A: Given that: Angela has two sons, Eli and Conner. Eli has four children: Jason, Max, Gabriella, and…

Q: A class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the…

A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…

Q: Five letters, A,B,C,D, and E are arranged in a line. How many arrangements are possible if A can’t…

A: Given that:*The letters available to arrange in a line is,A,B,C,D and E.*The letter A can't be…

Q: Visitors to the school’s website can follow a link to the school’s chorale pictures. If the website…

A:

Q: A child has 25 blocks, of which 8 are yellow, 4 are red, 6 are green, 4 orange, and 3 are blue. If…

A: Given, A child has 25 blocks, of which 8 are yellow, 4 are red, 6 are green, 4 orange, and 3 are…

Q: Andrew a sales representative of Data Network Company (DNC) must visit 6 towns within the coast…

A:

Q: Malik is cashing his $140 paycheck and would like only $5 and $10 bills. The bank teller gives him…

A: Given , Malik is cashing his $140 paycheck and would like only $5 and $10 bills. The bank teller…

Q: how many ways can each person select one fairy form her own basket?

A: Amy, Betsy, and Cindy are each given a fruit basket. Each basket contains one apple, one pear, one…

Q: Draw an ordered stemplot of these scores: 22, 32, 34, 30, 28, 19, 26, 18, 19, 20. List the 'leaves'…

A: Ordered data x 18 19 19 20 22 26 28 30 32 34

Q: A die is rolled four times consecutively. Find the number of possible outcomes if the order of the…

A:

Q: . evaluate perm(5,3)= b. evaluate perm(22,6)= c. evaluate comb(5,3)=

A: a. evaluate perm(5,3)=? b. evaluate perm(22,6)=? c. evaluate comb(5,3)=?

Q: Renae, Nexael, Braden, Lovely, and Vanessa are attending a play and want to sit together in a row.…

A:

Q: Q6. In how many way, can a manager .arrange 16 employees into 4 groups

A: Number of ways = 16C4

Q: A child has fewer than 300 baseball cards. If he puts them in piles of 3​, 4​, 6​, 15​, or 18 he has…

A: Let, the child has x baseball cards.  Then, according to the given problem,        x = 1 (mod 3)…

Q: Lenny has 5 friends in his neighborhood. In how many ways can he choose 3 to help him move…

A: Lennh has friends = 5 Number of friend to be chosen = 3

Q: Three members of an organization volunteered to serve as President, Treasurer and Secretary. In how…

A:

Q: A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…

A: This is a counting problem.. we will solve it using the approach of dynamic programming

Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A debating team consists of 9 boys and 9 girls. Find the number of ways they can sit in a row where:…

A: The total no. of boys is .The total no. of girls is .Consider the formula for . For  considered…

Q: For a class activity, a teacher put students into teams of 5.The teams were made up of 2students…

A:

Q: Green a. How many choices to get green marble from the first try do you have? Round your answer to t…

A: Here given tree diagram for selecting marbles from box

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.