In a theater, there are 22 seats in the first row and 3 more seats in each following row. How many seats are there in the front 10 rows?

Q: In a football league, each team plays each of the other teams twice during the season, once at home…

A: Here we will going to use basic concept of Combination.

Q: Each marble bag sold by Jessica’s Marble company contains 5 yellow marbles for every 3 purple…

A:

Q: Suppose that a collection of 100 coins (consisting of fifty cent pieces, dimes, and pennies) is…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: There are 20 seats in the front row of a theater. Each successive row contains two more seats than…

A: The number of seats in the first row =20 Since each successive row contains two more seats than the…

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How…

A: Given In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each…

Q: There are 860 freshmen. If that is 43% of the class, how many are in the class?

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Q: A pile of soft drink bottle caps has 1 cap on the top layer, 2 caps on the next layer, 3 caps on the…

A: So basically the number of bottle caps in the next layer is just one more than the previous layer.…

Q: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

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Q: A softball league has eleven teams. If every team must play every other team once in the first round…

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Q: At Rosemont High School, 14 players are on the varsity bas- ketball team, 35 players are on the…

A: Given: Let A denotes the varsity basketball team and B denotes the varsity football team then,…

Q: How many 3 card hands are possible with a 28​-card deck? The number of 3 card hands is ___

A: Total cards = 28

Q: each marble bag sold by eric's marble company contains 8 orange marbles for every 5 purple marbles.…

A: Find the number of marble bags if a bag has 72 orange marbles.

Q: A dog shelter is giving away 16 different dogs, but you have room for only six of them. How many…

A: A dog shelter is giving away 16 different dogs. And there is room for only six of them.

Q: There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many…

A: Given,   There are 8 members on a board of directors. If they must form a subcommittee of 6 members.

Q: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

A:

Q: In a group of dogs and their owners, there are exactly 20 heads and 64 legs.  How many dogs are in…

A: Let, x be No of men. y be no of dogs   Men consists of 2 legs and dog has 4 legs.   x+y=20 2x+4y=64

Q: An amphitheater has 15 seats in the first row and gains 4 additional seats in each successive row.…

A: Sum of the Arithmetic Series is n(a1+an)/2. Here, n is the number of terms a1 is the first term an…

Q: A boy owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets. How many different outfits can he wear…

A: Given a boys owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets Boys can wear one of each items…

Q: How many ways can 4 people sit in a row of 7 chairs? The number of ways 4 people can sit in a row of…

A: Given: number of chair (n)=7 number of people (x)=4

Q: In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only…

A:

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

A:

Q: In a bird sanctuary, 30% of the birds are hummingbirds. If there are about 350 birds in the…

A: In a bird sanctuary 30% of the birds arehumming birds. if there are about 350 birds in the sanctuary…

Q: How many different ways are there for the 10 people to stand in line to buy movie tickets?

A: How many different ways are there for the 10 people to stand in line to buy movie tickets?

Q: A disc jockey has 7 songs that he must play in a half-hour period. In how many different ways can he…

A: He can pick first song in 7 ways Second song in 6 ways Third song in 5 ways and so on.7th song in 1…

Q: How many outfits can be made with three tops, nine pants, and two jackets?

A: There are 3 tops, 9 pants and 2 jackets. Now, to choose 1 dress  from 3 tops and 9 pants, there are…

Q: Find the seating capacity of a movie house with 40 rows of seats if there are 25 seats in the first…

A: Given that First row has 25 seatsSecond row has 28 seatsThird row has 31 seats and so on.Total…

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: Each marble bag sold by Raina's Marble Company contains orange marbles for every 4 blue marbles. If…

A: The given data is: Marble Company contains orange marbles for every 4 blue marbles If a bag has 18…

Q: A softball league has twelve teams. If every team must play every other team once in the first round…

A: Topic: Permutations and combination

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: A president, vice president, and 2 at-large members are selected for a school council from 10…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: A woman has two skirts and six blouses. Assuming that they all match, how many different skirt and…

A: As we know, nCx=n!(x)!  *  (n-x)! ; where n!=1*2*3*.....(n-1)*n

Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…

Q: In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the…

A: Given: There are 10 teams in the tournament and trophies are to be given to the top 3 places. Find…

Q: From the group of 5 freshmen, 6 sophomores and 8 seniors, how many committees can be formed if each…

A:

Q: There are 420 students who enrolled in an introductory engineering course. If there are five boys to…

A:

Q: A college plays 12 football games during a season. In how many ways can the team end the season with…

A:

Q: in a dog park, there are 84 total legs. If there are 3 more dogs in the park than people, how many…

A: In a dog park, there are 84 total legs. If there are 3 more dogs in the park than people, We have to…

Q: In a construction company, there are three

A: Here the table below shows the required calculation for obtaining the coefficient of variation for…

Q: Each roller coaster car holds 3 people. How many people seated in 2 cars? are

A: If an objects contains n number of things, then the total number of things in m of such objects is…

Q: If 135 students love their English class, and 80% more love their math class, then how many students…

A: Given that  If 135 students love their English class 80% more love their math class,  To find the…

Q: A different class has 275 ​students, and 56.4​% of them are men. How many men are in the​ class?

A: The total number of students in a class is 275 out of which 56.4 % are men.

Q: A theater has 30 seats in the first row, 32 seats in the second row, increasing by 2 seats per row…

A: Given:  Seats in first row= 30 Seats in second row = 32 Total number of rows = 26 To Find: Total…

Q: A grocery store Sells 18 flavors of pudding. If they select 5 different flavors, how many Selections…

A: The total number of flavors is 18.

Q: The first row of a conference hall has 8 chairs and 2 additional chairs in each subsequent row. How…

A: The number of chairs in the rows form A.P with first term 8 and common difference is 2 that is, We…

Q: How many ways can 2 people sit in a row of 6 chairs? The number of ways 2 people can sit in a row of…

A:

Q: A book club offers a choice of 5 novels from a list of 10. How many 5-novel selections can be made?

A: Given data: The total numbers of books are n=10. The numbers of novels selected are x=5.

Q: How many of the farm’s 5000 trees will be sold eventually, and how many will be lost?

A: Thanks for giving opportunity to serve for bartleby students, Hey, There ! Thank you for posting…

Q: An architect designs a theater with 18 seats in the first row, 22 in the second, 26 in the third,…

A:

Q: During a summer camp, all the children have to be separated into 8 different groups. If there were…

A: During a summer camp, all the children have to be separated into 8 different groups. If there were…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.