An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third, and so on. What is the total number of seats if there are 21 rows in the theatre?

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A: There are 275 students who applied for a scholarship. If there are 107 females and 86 coming from…

Q: a different class is made up of 40% women and has 17 women in it.what is the total number of…

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

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Q: an auditorium has 45 seats in the 1st row, 52 seats in the 2nd row, 59 seats in the 3rd row, and so…

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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: An outdoor amphitheater has 35 seats in the first row, 37 in the second row, 39 in the third row,…

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Q: Kevin wants a new paddle​ board, and will buy a package consisting of a​ board, custom​ fin, and…

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Q: Of the 60 members of a choir, 30% sing alto and 45% sing soprano. How many members of the choir sing…

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Q: there are cows and hens in the farm. if there are total of 65 heads and 160 legs, how many cows are…

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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: If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: Given: 11 people are to be seated in a row of 11 chairs. The objective is to find different seating…

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: As per given information: He puts the chocolate into group of 11 Then he is putting 48×93=4464…

Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

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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: In a group of 9 people, there are 4 females and 5 males. Determine the number of 4-member committees…

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Q: How many matches will be required to determine the champion in a single elimination tennis…

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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: Determine how many rows are in the corner section of a stadium containing 3920 seats if the first…

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Q: A drill sergeant lines up 92 soldiers in rows of 12, except for a partial row in the back. How many…

A: there are 7 rows excluding the partial row. and there are 8 soldiers in the back row.

Q: At a restaurant you can choose from 3 appetizers, 8 entrees, and 2 desserts. How many different…

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Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

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

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Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are cho- sen from…

A: Here, 3 students are chosen from each senior, junior and sophomore.

Q: The first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34 seats,…

A: Given: he first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34…

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 drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the…

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Q: A pianist plans to play 4 pieces at a recital. In how many ways can she arrange these pieces in the…

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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: How many matches are played in a badminton tournament of 27 players?

A: Sol

Q: A concert hall contains 8 sections of seats with the same number of seats in each section if there…

A: Ans. 31

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Q: A college team plays 10 football games during a sea-son. In how many ways can it end the season with…

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

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Q: Coco arranged 32 chairs in 4 rows. If each row has an equal number of chairs, how many chairs are in…

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Q: A team of 22 soccer players needs to choose 3 players to fill water bottles. How many different…

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Q: A committee of 6 students has to be formed from 10 boys and 8 girls. In how

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Q: If 16 new teachers are to be divided among 4 schools, how many divisions are possible? What if each…

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Q: Jim, Sanjay, Dean, and Shannon found seats in a row at the cinema. In how many different orders can…

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Q: An outdoor amphitheater has 37 seats in the first row, 39 in the second row, 41 in the third row,…

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Q: Of the shareholders in a service corporation, 56% are women. If 72,820 shareholders are men, how…

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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: In a theater, there are 22 seats in the first row and 3 more seats in each following row. How many…

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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…