olya Strategy to solve. If eight people greet each other at a meeting by shaking hands with one another, how many handshakes take place?

Q: The two-way table shown below gives the numbers of books a librarian has to reshelf. Suppose the…

A: probability = observation given result/total observation  here we have to find probability

Q: If a pup is worth a pooch and a mutt, and a pup and a pooch are worth one bird dog, and two bird…

A: Given data: A pup is worth a pooch and a mutt, and a pup and a pooch are worth one bird dog, and two…

Q: A class of 25 students consists of 15 girls and 10 boys. A committee of five students is being…

A: A class of 25 students consists of 15 girls and 10 boys. A committee of five students is being…

Q: Seven friends decide to sit on a row of seven seats. How many ways can they be seated if three of…

A:

Q: Troy is a proud drummer in the Minnie Mites Marching Band and has invited his fellow drummers over…

A:

Q: Find the combination Nine points lie on a circle. How many inscribed triangles can be formed? Nine…

A: How many inscribed triangles can be formed? Here n=9, for a triangle three points are required,and…

Q: Ami, Beni, Cori, Dani, and Eri went to Dempo concert. How many arrangements were possible when they…

A: The 5 people A, B, C, D and E are to be seated in adjacent seats If E and C are together then the…

Q: Bailey receives 82 pieces of candy while trick-or-treating on Halloween. She plans to eat four…

A: Number of candy received = 82 pieces Number of pieces eating per day = 4 Let the number of days the…

Q: Cardo has six different jackets. If he cannot wear the same jacket on tro consecutive days, how many…

A: If we have n objects that have to be assigned to r slots then the number of ways to do it will…

Q: Ten days before Valentine's Day, Pepe decided to give Pilar flowers. On the first day, he sent one…

A:

Q: In Morse code, symbols are represented by variable-length sequences of dots and dashes. (For…

A: With a sequences of length 1 we can represent 2 symbols. With a sequence of length 2 we can…

Q: Shake. Ten people attend a party. If each pair of people shakes hands, how many handshakes will…

A: Combination Rule:There are n different items and r number of selections and the selections are made…

Q: Jen would like to use the first week in May to visit one city, and the first week in June to visit…

A: Given: Jen would like to use the first week in may to visit one city and the first week in June to…

Q: Three concerned environmentalist started an organization that aims to help preserve mother earth.…

A: For the first meeting, three members attended the meeting first meeting = 1+1+1=3   for the second…

Q: Joe, Megan, and Santana are salespeople. Their sales manager has 18 accounts and must assign six…

A:

Q: In how many can the 4 couples sit around a circular table so that no two men are sitting together? *…

A: Given  4 couples sit around a circular table so that no two men are sitting together.   We know that…

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 7 patients…

A: Given Number of patients=7

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: The solution of the problem is given in the next step.

Q: Ten athletes are lined up for a picture. How many arrangements are there if: a) there are no…

A: Given that, Ten athletes are lined up for a picture. We need to find, how many arrangements are…

Q: 96 pencils come in a box. If 4 teachers share 3 boxes equally, how many pencils does each teacher…

A: A box contains 96 pencils. So 3 box contain 3×96 = 288 pencils.

Q: Find the combination A volleyball team has 15 players, two coaches, and three managers. In how many…

A: 15 players 2 coaches 3 managers 20 total people     how many ways can nine people sit in the front…

Q: 3. In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are…

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Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A:

Q: Write your solution and final answer. In a gathering, each of the guests shook hands with everybody…

A: To obtain the total number of guests, it is to be considered that two guests are needed to obtain a…

Q: Suppose a family has four children. Find the number of arrangements if the last child born is a boy

A: In this for each position of children there are two choices boy or girl expect last one I e. Boy. So…

Q: On the first month of gardening, Laurice has only two plants in her backyard. After 3 months, there…

A:

Q: English has 26 different letters. How many consecutive words have to be selected in a book to have…

A: Use the generalized pigeonhole principle which states that, “Assume N objects are placed into k…

Q: Six people gathered to watch at a rally campaign and eat on a food kiosk after the campaign. In how…

A:

Q: B2.c. How many arrangements are there of the letters ofthe word CHEESECAKE a. When repetition is…

A: The given word is 'CHEESECAKE'

Q: a) In how many ways can the choreographer choose the dancers if the company has 20 dancers? 24…

A: here use combination

Q: a maths debating team consist of 4 speakers. a) in how many ways can all 4 speakers.  a.) In how…

A: Here given that a maths debating team consist of 4 speakers. we have to find a.) In how many ways…

Q: Use polya strategy to solve. Twenty-four points are placed around a circle. A line segment is drawn…

A: Given problem can be solved by making the graph of 24 vertices and then connecting each vertices by…

Q: License plates in a particular state display 3 letters followed by 4 numbers . How many different…

A: The letters and digits in license can be occurred more than once.

Q: (a) A company that makes crayons is trying to decide which 4 colors to include in a promotional…

A: According to the guidelines I am answering first question only. Number of ways to choose 'r' things…

Q: The Moore family received 31 pieces of mail on April 27. The mail consisted of letters, bills,…

A: Moore family recieved 31 pieces of mail mail consists of letters (L), bills (B) , Magazines (M) and…

Q: Dr. Orchid has 9 paintings she wants to hang side by side on her wall. (a) In how many ways can she…

A: Given query is to find the arrangement of 9 paintings and the selection of 4 out of 9.

Q: a. exactly 5 accidents will occur? b. less than 3 accidents will occur? c. at least 2 accidents will…

A:

Q: dog's banana tree has 16 bananas, and she wants to share them with her neighbors Beth and Carol,…

A: Fundamental Counting Principle: The fundamental counting rule, commonly termed the basic counting…

Q: Using polya's strategy, what is the answer in the problem. An online mobile game tournament was…

A:

Q: w many handshakes are required for a group of 8 people to shake everyone's hand?

A:

Q: Six people gathered to watch at a rally campaign and eat on a food kiosk after the campaign. In how…

A: Given that  Number of people =6  We have to find the number of ways can the seating arrangements to…

Q: At a dance, there are 20 girls and 20 boys. a. How many ways are there to form 20 pairs? b. How…

A: Answer: a)

Q: How many handshakes were there

A: Lets start with the first person Person 1 : He can shake hands  with 8 new people. Person 2 : He…

Q: At the 2012 Olympics, 15 men competed in the 3000m steeplechase.  How many ways can the gold,…

A: Given that at the 2012 Olympics, 15 men competed in the 3,000m steeplechase.

Q: At a party last​ night, the 34 people in attendence shook hands with everyone else. How many…

A:

Q: A baseball team takes a road trip and plays 12 games. In how many ways can they win 7 and lose 5…

A:

Q: Use Polya's four step problem in solving strategy to solve the problem. An online mobile game…

A: Given that total number of players when the tournament begin =1024 number of players for each game…

Q: License plates in a particular state display 2 letters followed by 3 numbers. How many different…

A: There are total 26 letters and 10 digits.  We can pick 2 letters in 262=676 ways We can pick 3…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.