A theater has 27 rows of seats. The first row has 18 seats, the second row has 20 seats, the third row has 22 seats, and so on. How many seats are in the theater? The theater has seats.

Q: A group of 10 friends go to a movie theater to see a newly released film. The friends consist of…

A: As per the given information 5 married couples are there and each couple must sit together Possible…

Q: A group of 12 people are going to run a race. The top 6 finishers are going to advance to the next…

A:

Q: Forty-eight students said they had a computer or a TV in their room. Thirty-five have a computer and…

A: 48 students said they had a computer or a TV in their room35 have computer 20 have a TV

Q: A ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice…

A:

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: A farmer raises 65 animals on her farm. Some are pigs and some are chickens. If they have 180 legs…

A:

Q: A group of friends have met at the park to socialize and play a game. Juan and Mary have been chosen…

A: There is group of 21 friends. Out of which Juan and Mary have been chosen as team captains.  Hence,…

Q: In a group of 100 people, 60 have a DVD player, 50 have a CD player, and 20 have neither. How many…

A:

Q: A man owns 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets. How many different outfits can he…

A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

Q: You volunteer to help drive children at a charity event to the​ zoo, but you can fit only 7 of the…

A: The objective of this question is to find out how many different groups of 7 children can be formed…

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

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: John has 9 boxes of apples. Each box holds 12 apples. If 6 of the boxes are full, and 3 of the boxes…

A:

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: A large auditorium has 90 rows of seats. The first row has 50 seats, and each succeeding row has 5…

A:

Q: A group of campers is going to occupy 3 campsites at a campground. There are 15 campsites from which…

A: The objective of this question is to find out the number of ways in which 3 campsites can be chosen…

Q: You are buying 10 t-shirts and there are 8 different colors to choose from. How many ways can you…

A: Probability A probability provides the possibility of occurring an event. For example, A school team…

Q: A poker hand consists of five cards from a deck of 52.  Order does not matter.  In how many ways can…

A: A poker hand consists of five cards from a deck of 52.   Order does not matter i.e. combination is…

Q: The security department has 6 employees. Four of them won't have to work on Thanksgiving day. How…

A: No. of employees in a security department(n)=6No. of employees that the supervisor wants to select…

Q: You visit a store. You have your choice of 3 shirts, 4 pants, and 3 pairs of shoes. How many…

A: Given that you have your choice of 3 shirts, 4 pants, and 3 pairs of shoes.  We want to find…

Q: A track coach needs to select 2 students from each grade level to cre- ate a board of…

A: