Solve by the method of your choice: In a race in which six automobiles are entered and there are no ties, in how many ways can the first four finishers come in?

Q: To attend a local auto​ show, children admission was​ $10​, adult admission was $16​, and senior…

A: Given: Charge to attend the show for a children, an adult and a senior citizen are $10, $16 and $12…

Q: A stadium has 250 people in it at noon. If 35 people per minute enter the stadium, how many are in…

A: Number of people at noon, or in terms of  slope intercept form, y intercept=250 Rate at which people…

Q: To attend a local auto​ show, children admission was $2​, adult admission was $14​, and senior…

A:

Q: Use the formula for nCr to solve, Of the 100 people in the U.S. Senate, 18 serve on the Foreign…

A: Of the 100 people in the U.S. Senate, 18 serve on the Foreign Relations Committee.

Q: In an election for Homecoming King, 500 votes are tallied for 3 candidates: Bobby, Frank, and Hao.…

A: A detailed solution is given below.

Q: In a mathematics class, eighteen students received an A on the third test, which is 150% of the…

A:

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: If you expect to have four times as many women (compared to men) at a 20-person Emergency Room…

A:

Q: In a game of chips, Paul lost half of his chips in the first round, won 50 chips, then lost half his…

A:

Q: 4) Tommy and Jeremy collected 379 erasers altogether. - of Tommy's erasers of Jeremy's erasers. How…

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 25 pieces. How many different…

A: Solution is given below:

Q: Solve by the method of your choice: Using 15 flavors of ice cream, how many cones with three…

A:

Q: Out of 40 mothers giving birth to fraternal twins, how many should give birth to twin girls? A. 4…

A: Given that there are 2 children of each.  For each child, there are two options girl and boy.  So…

Q: Q3 / If the student must answer 10 of the 13 questions, provided that he answers at least 4 of the…

A: A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4…

Q: to hire a mathematics tutor from Excel Review Center and planned to contribute equal amount for the…

A: Let:x=number of examineesy=tutor's feeyx=original fee shared per examinee.if there were more 10…

Q: Solve by the method of your choice: How many different ways can a director select from 20 male…

A: How many different ways can a director select from 20 male actors and cast the roles of Mark, Roger,…

Q: Solve the problem. In how many ways can Susan arrange 10 books into 4 slots on her bookshelf?

A: Here we have to calculate in how many ways Susan can arrange 10 books into 4 slots on her bookshelf.

Q: For a particular event, 873 tickets were sold for a toal of $2178. If students paid $2 per ticket…

A:

Q: Mrs. Graham has 22 children in her third grade class. On Field Day 2 students are absent. Mrs.…

A:

Q: Out of 800 families with 5 children each how many would you expec to have i) 3 boys (ii ) either 2…

A: Given: Total number of families=800Number of children=n=5

Q: At a competitive examination at which 600 graduates appeared, boys outnumbered girls by 96.

A: It is asked to find the number of boys who qualified for the interview. Let's assume,  N = Total…

Q: 42% of the tickets sold at an amusement park were discount tickets. If the park sold 150 tickets in…

A:

Q: Solve by the method of your choice:In how many ways can five airplanes line up for departure on a…

A: There are 5 different airplanes and 5 runways.

Q: Solve by the method of your choice: In how many ways can five airplanes line up for departure on a…

A: We have to find the ways for five airplanes line up for departure on a runway. There are five…

Q: In a mathematics class, 21 students received an a on the third test, which is 175% of the students…

A:

Q: In an election for a district there were two candidates. Meni and Bie, a total of 25500 voted and…

A:

Q: In how many ways can 6 volunteers be assigned to 6 booths for a charity bazaar?

A:

Q: 3 classes worked together to raise money for their classroom libraries and agreed to share the money…

A:

Q: At a conference, after everyone had shaken hands with everyone else, it was found that 45 handshakes…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: In a volleyball league consisting of 10 teams, each team plays each of the other teams exactly…

A: As per our guidelines we are supposed to answer only one question at a time..So I am solving the…

Q: To attend a local auto show, children admission was $10, adult admission was $14, and senior…

A: Let 'x' be the number of children. Let 'y' be the number of adult. Let 'z' be the number of senior.

Q: While reviweing the previous days arrest report, a police sergeant notices that six suspects were…

A:

Q: (d) (Advanced) Of selecting two CEOS and finding they both made more than $1 million?

A:

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

A:

Q: At a swim meet, there was a 100 m Butterfly race. If the race had 16 swimmers, how many possible…

A: From the information number of swimmers is 16 and the number of ways that first, second, third and…

Q: Jack has 4 tiles and wants to fing out how many different shapes he can make with all of them.

A:

Q: Use the formula for nPr to solve, In a race in which six automobiles are entered and there are no…

A: We have to find number of ways by using formula of permutations Prn for first three finishers come…

Q: Use the formula for nPr to solve, In a production of West Side Story, eight actors are considered…

A: In a production of West Side Story, eight actors are considered for the male roles of Tony, Riff,…

Q: Francis wants to donate his 15 books to his three friends. If he gives 8 books to one of his friend…

A: given data   have 15 books 8 books to one friend 4 books to other friend and remaining to third…

Q: Of the 600 people at a music festival, 420 had attended the previous year. How many people out of…

A: Assume x = no. out of 100 Given that 420 people out of 600 attended festival last year

Q: In a mayoral election, April Catarella received 284 morevotes than Charles Pecot. If Charles…

A:

Q: Doug McDougal is wh. guests--but only & are twice as many bowls a

A: Given query is to find how many guests are coming to the party.

Q: On a test, if 115 questions are answered and 41% of them are correct, what is the number of the…

A:

Q: a. lose exactly 430 bags next week? b. lose at most 420 bags next week? c. lose more than 450 bags…

A: here mean  = 427 bags  standard deviation  = 35 bags    x = no of bag lost in next week

Q: Toby and Rocco have 30 toys between them. If Toby has 11 of the toys, how many toys does Rocco have?…

A: The quinary number system uses 5 as the base. The digits of this number system are: 0, 1, 2, 3, 4.…

Q: To attend a local auto show, children admission was $8, adult admission was $12, and senior…

A: Below is the solution:-

Q: In a P.T.A. meeting with 150 parents, there were four times as women as men. How many men were in…

A: Total persons ( parents) = 150 Let  Number of Women  = x Number of men's = 4 times as women…

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.