A baseball fan has a pair of tickets to 6 different home games of the Chicago cubs . if the fan has five friends who like baseball, how many ways he take one of them along to each of the six games

Q: A class with 30 students has ten men and nine seniors, and five of the men are seniors. How many…

A: The total number of students is n = 30.

Q: A group of 7 friends line up for a picture. Two of the friends are named Bert and Gert. How many…

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Q: Two students want to determine whose paper airplane model can fly the farthest. To put their models…

A: CL=90% CI for mean diff. (B-A) in flight distance is (-11.08 inches, 91.08 inches).

Q: There are 11 teams in a league. How many games are played if every team plays each other twice?

A: Suppose there are n teams. Also suppose that all the teams play every other team twice. Then the…

Q: players.  There are 8 teams in the league.  Each player has 2 uniforms.  it costs $5 to dry clean 2…

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Q: Your little cousin will have a big animal-themed birthday party and you will help with goody bags.…

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Q: A group of boys shares some cards among themselves. If each of them tried to take 8 cards each, the…

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Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…

Q: At a certain French restaurant, a multi-course meal is offered, where patrons can choose from…

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Q: An ice cream store has 30 flavors to select from. A customer who is a connoisseur of ice cream wants…

A: We have to select three different flavors from a ice cream store which has 30 flavors. Since, here…

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: Jennifer has 4 black bags. She has 15 seeds in the black bags. She has arranged the seeds in the 4…

A: Given : Number of bags = 4 Number of seeds = 15 None of bag is empty and all bags have different…

Q: The menu of a diner has three choices for salad, five main dishes, and two desserts.  How many…

A: Given data, choices for salad=3 choices for dishes=5 choices for desserts=2

Q: Liza is a basketball coach and must select 5 players out of 12 players to start a game. In how many…

A:

Q: Assume that the pond contains 90 fish: 68 blue, 21 orange, and 1 white. A contestant pays $0.65 to…

A: Total number of fishes = 90 Contestant pays $0.65 for catching one fish and receives $0.20 if fish…

Q: Your roommate has six pets (fish, cat, tur- tle, dog, rock, and pony). He will take three of his six…

A: Given that Your roommate has six pets (fish, cat, tur- tle, dog, rock, and pony). He will take three…

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

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Q: A die is rolled four times consecutively. Find the number of possible outcomes if the order of the…

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Q: A team of 12 is being selected from 10 females and 15 males. The team must include of five females…

A: Answer - A team of 12 is being selected from 10 females and 15 males.               The team must…

Q: The lunch special at a sandwich bar offers you a choice of5 sandwiches, 7 salads, 8 drinks and 3…

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Q: You have 10 houses in a row on a one side of a street, going from left to right. You are to paint…

A: Number of houses = 10

Q: In a survey it was found that 21 people liked product A, 26 liked product B and29 liked product C.…

A: Let A, B, and C be the set of people who like product A, B, and C respectively.  Now since 21 people…

Q: Joey finds 13 video games that he would like to have. Three of them will run on his operating system…

A: Given: A total of 13 games are there. 10 will run on the operating system and 3 will not.

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: Given,no.of chemistry workshops=7no.of biology workshops=6

Q: A bag contains 20 marbles. 9 of them are red, 4 are black, and the rest are gold. Picking a red…

A: We make a table of winning using the given information: Color Red Black Gold Total Winning…

Q: Keep in Shape Club has 73 members. 35 members swim, 24 play basketball, and 27 jogs. Of these…

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Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A: pick the first and second places in the firdt two races.  first race runs 12 horses second race runs…

Q: Find the number of different poker hands that contain exactly 3 kings, while the other remaining 2…

A: Total number of cards is 52. The number of cards for the poker hand is 5.

Q: A school has all of the fourth-grades in 4 rooms Room A, B, C, and D. Room B has 5 fewer students…

A: Let Room B has x number of students.  Room B has 5 fewer students tahn room C.  So, the number of…

Q: Pauline has a roll of quarters ($10) to spend at the arcade. She wants to go to an arcade that has…

A: Consider the given data, Total number of arcade = 15Number of arcades having Pac-Man = 10Number of…

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 team of 5 people will be selected out of 9 boys and 14 girls. How many different teams can be…

A: Given that, Total number of girl = 14 Total number of boy = 9 We have to find number of different…

Q: The newest cars have 12 different accessories and the buyer pays for each one separately.  If a…

A: Given, The newest cars have 12 different accessories A buyer wants to buy four accessories

Q: Harry has 4 shirts and some number of pairs of pants in his closet. He has a total of 8 possible…

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Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

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.