Polya's Problem in a basketball league consisting of 10 teams, each team plays each of the other teams exactly three times. how many leagues game will be played

Q: a chess tournament, each pair of participants must play with each other exactly once. Two player= it…

A: Given that

Q: There is a horse race with 7 horses in the race. How many ways can we have the horses finish the…

A: Given that The number of horses participating in a horse race is 7. To find the ways can we have the…

Q: 7 identical prizes are distributed to a group of 21 people. How many ways are there to distribute…

A: The given details: 7 identical prizes are distributed to a group of 21 people. That is, Number of…

Q: Question: Suppose you wish to share 10 identical mangos among 5 players. a) How many ways can you…

A: Part (a) Given that, each player must get at least one mango. So, five mangoes can be distributed 5…

Q: part label tiny 2 of 8 . A 125-page document is being printed by five printers. Each page will be…

A: There are 5 printers A,B,C,D,E a) Each printer can print any number of pages, there is no…

Q: Four tour buses depart the terminal on the same day. The itinerary of the first bus takes 88 days,…

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Q: A theater has 20 rows of seats. If there are 4 seats in the 1st row 12 in the 2nd row, 20 in the 3rd…

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Q: A city courrently has 123 streetlights. As part of a urban renewal program, the city council has…

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Q: Directions: Create two (2) problems illustrating a permutation situation. Be creative in your…

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Q: 4) Female bees have two parents, one male and one female. Male bees have only one female parent. How…

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Q: Seven cards are drawn from a standard deck of 52 cards. How many hands of seven cards have exactly…

A: A standard deck consists of 52 cards out of which there are 13 cards for each suit (spades, clubs,…

Q: 9. A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…

A: Hint: Take the checker board and mark the paths in it up to the top of the board. Then sum up the…

Q: A family with three children are to pose for a family picture in a row. A.in how many ways can they…

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Q: A group of four friends goes to a restaurant for dinner. The restaurant offers 12 different main…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: involving the assignment of tasks to the men and women of a committee. Assume that you have a…

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Q: 2. A man put a male-female pair of newly born rabbits in a field. Rabbits take a month to mature…

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Q: 15. An auditorium has 21 rows of seats. The first row has 18 seats, and each succeeding row has two…

A: Let, n : number of row       an: number of seats in nth row.       Sn: The sum of number of seats in…

Q: I am confused about parts C and D.

A: Given:Three-digit numbers:

Q: 5.) 5 WOMEN AND 6 MEN ARE STANDING IN A LINE. HOW MANY ARRANGEMENTS ARE POSSIBLE IF ANY INDIVIDUAL…

A: No of people = 5 women + 6 men = 11

Q: 3) Abasket contains seven apples and six peaches. One of the apples and five of the peaches are…

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Q: involving the cans of cola in a cooler. For this problem, assume the cooler contains 36 cans, 20 of…

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Q: 1 A team of 8 members will be created from a pool of 15 candidates (10 Men and 5 Women). How many…

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Q: A group of four friends goes to a restaurant for dinner. The restaurant offers 12 different main…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: A person has a set of coins consisting of half dollars (50¢), quarters (25¢), dimes (10¢), and…

A: H = half dollor (50c)Q = quarter (25c)D = dime (10c)N = Nickel (5c)  We need to find the…

Q: 6. committee of 4 students can be formed if there are at least 2 girls in the committee. There are 4…

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Q: a. between the child's first and second birthdays. b. between the child's third and fourth…

A: The average value of M between 1st and 2nd birthdays will be: Avg…

Q: Assume there are 3 men and 5 women at a party. Show that if these people are lined up in a row, at…

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Q: involving the manufacturing of chairs. Assume that there are 4 types of upholstery, 5 types of wood,…

A: Consider the following given data,Total number of types available in upholstery = 4Total number of…

Q: 1. A farmer planted a crop of corn in one of his fields. There are 4816 stalks of com in equal rows.…

A: Total number of stalks of corn in the field, X=4816 stalks. Number of stalks of corn in each row,…

Q: A company produces 5 different types of cookies. a) How many different boxes with 12 cookies is…

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Q: Solve step by step in digital format XXXXXXXXXXXXXXXXXXXXX 4. From a deck of poker, which contains…

A: Disclaimer:  Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Six juniors and five seniors form a committee.  The committee needs a group of four people to work…

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Q: If a first experiment can be performed in 5 distinct ways and a second experiment can be performed…

A: Given: First experiment performed in n1=5 ways Second experiment performed in n2=12 ways

Q: Find in how many ways can two admirals, three generals, and four lieutenants can be seated in a row…

A: a) In this case, there are two admirals, three generals, and four lieutenants can be seated in a row…

Q: If six people greet each other at a meeting by shaking hands with one another,how many handshake…

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Q: involving the research project. Assume that 12 students, including james are working on the project…

A: 1) The first section can be assigned in 12 ways  The second section in 11 ways, third in 10 ways,…

Q: 12. Automobile Trips There are 2 major roads from city X to city Y and 4 major roads from city Y to…

A: Fundamental rule of counting:If there are m different ways of occurring an event and n different…

Q: A company produces 4 different types of cookies. a) How many different boxes with 10 cookies is…

A: Follow the steps.

Q: 6. Each telephone number in a city consists of 7 digits. а. How many telephone numbers are possible…

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Q: standard deck of 52 cards and laid out in a row on a table. In how many ways can this be done such…

A: Solution of the problem as follows

Q: 16. A triangular garden has 20 plants in the first row. Each succeeding row has 12 more plants than…

A: Gievn that Number of plants in the first row of a triangular garden=20 To find Number of plants in…

Q: A deli offers 6 different toppings. You are allowed 4 different toppings. In other words, you can't…

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Q: involving the assignment of tasks to the men and women of a committee. Assume that you have a…

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

Q: A fair coin flipped 3 times in a row.Find the probably of the coin coming up tails at least twice

A: When 3 coins are tossed the sample space is   S={HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}   Let E be…

Q: TOPIC: Permutation Five out of 9 students are to be seated in a row of chairs. How many ways can…

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Q: Students of a class are made to stand in rows .If one student is extra in row,there would 2 rows…

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Q: Seven freshmen and five seniors form a committee.  The committee needs a group of three people to…

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Q: Five men and three women are to be seated in a row of 8 chairs. How many different seating…

A: First find the total number of cases, here there are 8 chairs and 8 persons, so a total number of…

Q: Phone Numbers Current rules for telephone area codes allow the use of digits 2–9 for the first…

A: The fundamental counting rule statte that, If the first event could occur in m ways and he second…

Q: 9. Three young brother-sister pairs from different families need to take a trip in a van. These six…

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

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.