School is over, your family is planning a vacation somewhere outside the city, and your mom is letting you bring your five favorite books. Suppose there are 12 total books (including academic books, history books), how many different ways can you choose the five books?

Q: During the fall semester a school is offering science courses in physics, biology, and chemistry,…

A: It is given that there are science courses in physics, biology, and chemistry, and humanities…

Q: A theater has 29 rows of seats. The first row has 22 seats, the second row has 26 seats, he third…

A:

Q: a) You are thinking of buying a car which has 6 different engine types, 8 different interior types,…

A: Given information 6 different engine  8 different interior type 13 different colour schemes a) No of…

Q: 6. A croissant shop has 7 types of croissants: plain, cherry, chocolate, almond, apple, cheese and…

A: (a) The shop has 7 types of croissants.So n = 7. To choose one dozen croissants, so r =…

Q: There are a total of 134 foreign language students in a high school where they offer Spanish,…

A:

Q: The director of the school play has to assign 5 lead roles. If the roles are being chosen from a…

A:

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, honey…

A: Given Information: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: How many ways can a class president, vice-president, and secretary be selected from each of the…

A: Given data:   The total number of members in the seventh grade is N=110. The total number of members…

Q: Nine people are going to travel for a party in two cars. The larger has 5 seats, and the smaller has…

A:

Q: You just got a free ticket for a boat ride, and you can bring along 2 friends! Unfortunately, you…

A: Given: Total friends = 5 Number of friends that could be brought along = 2

Q: piano teacher is planning to take 4 of her 12 students to a concert. She wants to take 2 girls and 2…

A: Given query is to find the number of arrangement possible.

Q: You have 3 science books, 2 language books, and 4 philosophy books. In how many ways can they be…

A:

Q: At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop has…

A: Given problem is : At Wingstop, customers ordering a family meal can choose 4 different wing…

Q: At Mr. Furry's Dance Studio, every man must dance the last dance. If there are six men and nine…

A: Given that there are six men and nine women and every man must dance the last dance. Here total…

Q: There are 360 students and 2/3 went to a field trip. Of these students, 40% were wearing t- shirts…

A:

Q: At a dinner party, 6 men and 6 women sit in a round table. In how many ways can they sit if Bob,…

A: Number of ways to arrange N person around the round table is (N-1)!. Here, there are 6 men and 6…

Q: A restaurant offers a​ $12 dinner special that has 5 choices for an​ appetizer, 12 choices for an​…

A:

Q: Mark bought some fruits, 1/5 of the fruits are avocados, 1/3 are star apples and 2/7 of the…

A: Given : Mark bought some fruits, 1/5 of the fruits are avocados, 1/3 are star apples and 2/7 of the…

Q: a candle company sells individual candles, boxes with 8 candles, or containers with 15 boxes. At the…

A: Given:The number of candles in a box is 8.The number of box in a container is 15.At the beginning,…

Q: Consider a basket with 5 apples and 4 strawberries. In how many ways can you collect three apples…

A: Ans

Q: In a middle school class, there are 7 students. A) In how many ways can all 7 students be arranged…

A: Given data: The total numbers of students are n=7. A) The expression for the number of ways of…

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: 16. The debate club has 18 members, but only 4 can compete at the next meet? How many 4-person teams…

A: 16) Given Information: There are 18 members in the debate club. Only 4 can compete in the next meet.…

Q: b. The FIFA World Cup 2018 in Russia consists of 32 teams. How many ways for the top 3 teams exist?

A:

Q: The New Shanghai Restaurant offers a choice of two appetizers, five choices of soups, and twelve…

A: From the provided information, The restaurant offers a choice of two appetizers, five choices of…

Q: A catering service offers 5 appetizers, 4 main courses, and 6 desserts. A customer is to select 4…

A: Given: Number of appetizers=5Number of main courses=4Number of desserts=6 It is also provided that,…

Q: 30% of Grandpa Neil's stamps have images of flags on them. If he has 75 flag stamps, how many stamps…

A: In question, Given that 30% of Grandpa Neil's stamps have images of flags on them. If he has 75 flag…

Q: how many ways can four doctors and three nurses be seated in a row if the doctors and nurses are to…

A: Given that :  D represent doctors .  N represents nurses.  Arrangement in which Doctors and Nurses…

Q: A man owns 6 pairs of pants, 7 shirts, 8 ties, and 2 jackets. How many different outfits can he wear…

A:

Q: A school dance committee is made up of 4 freshman, 4 sophomores, 3 juniors, and 2 seniors. How many…

A: Given 4 freshman 4 sophomares3 juniors 2 seniorsstudents must fit together by gradeF1F2F3F4…

Q: The 50 members of a club include both the club president and the club treasurer. All 50 members want…

A: Topic- permutations and  combinations

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: A complete meal is composed of 1 cup of rice, 1 viand, 1 glass of drinks and 1 dessert. If there are…

A:

Q: A catering service offers 4 appetizers, 11 main courses, and 9 desserts. A customer is to select 2…

A: It is given that Number of appetizers = 4 Number of main courses = 11 Number of desserts = 9

Q: A restaurant that is famous for its desserts offers 100 different dessertst Of these desserts, 45…

A:

Q: How many ways are there to stack an ice-cream cone with 4 scoops if the choices are a. vanilla,…

A: To find the ways

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A:

Q: A school dance committee is made up of 2 freshman, 5 sophomores, 2 juniors, and 5 seniors. How many…

A: Given Data- A school dance committee is made up of: Freshman =2 Sophomores = 5 Juniors = 2 Seniors =…

Q: In how many ways can you choose 3 kinds of ice cream and 2 toppings from a dessert buffet with 10…

A: Given that there are 10 kinds of ice cream and  6 kinds of toppings. We can choose 3 kinds of ice…

Q: Last Super Bowl weekend, there were 109 pizzas ordered for the sophomore dorm. That weekend 32…

A:

Q: How many ways are there to sit the committee in a row at a meeting if the students must sit together…

A: This is question from permutation and combination

Q: The New Shanghai Restaurant offers a choice of four appetizers, three choices of soups, and ten…

A: Given that:                       Number of choices of appetizers = 3Number of choices of soups =…

Q: 3. Marty is a bookworm and he has various collections of novels, series and other story books. If he…

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

Q: A class adviser surveys 35 of his students on the kind of pets they have at home. He found that 15…

A: We want to find number of students have none of given pets.

Q: A bride is choosing a dress for her bridesmaids. If there are 5 styles, 2 colors, and 7 fabrics, in…

A: There are 5 styles, 2 colors, and 7 fabrics.

Q: At a fine dining restaurant, the "Ultimate Dining Experience" allows the customer to select a glass…

A: There are 5 choices for a glass of wines, 5 choices for appetizers, 3 choices of salads, 9 choices…

Q: A certain car dealership sells two models of cars: Model S and Model V.  Model S comes in 8…

A:

Q: coffee shop offers 10 different types of flavor shots. If customer can choose any number of flavor…

A:

Q: It’s the first day of summer camp, and the counselors are trying to figure out where one of the…

A: Given: There are four beds available in Cabin #1, five in Cabin #2, and just one in Cabin #3. To…

Q: If there are five different toy cars, and you want to put fifteen toy cars on the display, how many…

A: Permutation is the measurement of principle counting. It is measure that arrange the data in an…

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.