in a baseball league consisting of 10 teams plays each of the other teams exactly three times . How many league game’s will be played

Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

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Q: How many different teams of 44 can be chosen from a group of 1818 children and 1515 adults if each…

A: It is given that the number of children is 18 and the number of adults is 15.

Q: How many three-number combinations are possible on a combination lock having 40 numbers on its dial…

A: We have , total 40 number on dial and we have to find the combination lock of 3 digits. Since , the…

Q: Assume that you have a committee of 12 members, made up of 3 men and 9 women. In how many ways can…

A: We have to find given probability..

Q: A class of 50 students consists of twenty four boys and 26.how many different ways can 5 students be…

A: Given: A class of 50 students with 24 boys and 26 girls are there. Now ,total of 5 students are…

Q: There are 20 seats in the front row of a theater. Each successive row contains two more seats than…

A: The number of seats in the first row =20 Since each successive row contains two more seats than the…

Q: In a family of cats, there are 2 un-cool cats for every 3 cool cats. If these cats have 120 paws…

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Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: It is given that 12 teams are in a basketball tournament and each team must play every other team in…

Q: How many teams of 4 can be chosen from a group of 15 adults and 10 children if each team must have…

A:

Q: Let [A1, A2], [B1, B2], [C1, C2] be 3 married couples who attended a concert.  In how many ways can…

A: Permutation: A permutation is an arrangement of objects in a definite order. Let n is the total…

Q: If 7 numbers will be used to form telephone numbers, how many possible telephone numbers can be…

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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: A committee of six people is chosen from eight women and seven men.  How many          different…

A: Solution: From the given information, there are 8 women and 7 men. Here, 6 people are chosen at…

Q: There are ducks and pigs in a farm. Together, there are 35 heads and 100 legs. Assuming that each…

A: Simplification

Q: A buffet has 7 main dishes and 4 desserts. How many different combinations can one choose, if one…

A: Find the number of different combinations can one choose if one takes at least 1 and at most 3 main…

Q: A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different…

A: First, make all possible combinations of first 3 elements of the license plate, that is we need 3…

Q: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

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

Q: A chess tournament has 16 players. Every player plays every other player exactly once. How many…

A: Consider 16 players competing for a chess tournament with each player competing with the rest of the…

Q: department store sold 53 shirts one day. All short-sleeved shirts cost $10.00 each and all…

A: Given query is to find the number of each type of shirt sold.

Q: How many outfits can be constructed with 1 shirt, 1 pants, and 1 tie from a wardrobe of 2 shirts, 5…

A: The given problem is based on combination {Because order doesn't matter}. The combination of…

Q: Each marble bag sold by Michael's Marble Company contains 3 blue marbles for every 5 orange marbles.…

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Q: n soccer, a tie at the end of regulation time leads to a shootout by three members from each team.…

A: Given that  Number of players available (n) = 11 Players need to be selected = 3   We know that We…

Q: Each marble bag sold by Deshaun's Marble Company contains 5 orange marbles for every 6 green…

A:

Q: A committee has 10 members and 4 members must be chosen for a subcommittee. Three of the 10 members…

A: Statisticians/mathematicians use different counting techniques while selecting or arranging members…

Q: 2. In a basketball league consisting of 10 teams, each team plays each of the other teams exactly…

A:

Q: football team has 11 players on the field at a time. There are 20 total players on the roster. How…

A:

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 musician knows 10 songs is only going to play 4 of them at a concert. In how many different ways…

A: A musician knows 10 songs is only going to play 4 of them at a concert.  In how many different ways…

Q: Find the number of ways that 6 teachers can be assigned to 4 sections of an introductory psychology…

A: It is given that, 6 teachers can be assigned to 4 sections. We have to find the no. of ways that 6…

Q: How many different teams of 3 can be chosen from a group of 9 adults and 8 children if each team…

A: There are 9 adults and 8 children. A team has to be selected with 3 members.

Q: In how many ways can this be done if at least two of the committee members must be senator?

A:

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: A team of five is chosen from six men and four women. How many contain at least one of each sex?

A: Number of women = 4 Number of men = 6  Total number of men and women = 10

Q: A university student is selecting courses for his next semester. He can choose from 5  science…

A: Given,no.of science courses=5no.of humanities courses=10Total no.of courses=15

Q: 2. In a basketball league consisting of 10 teams, each team play each of the other teams exactly…

A: Given information: Total teams=10 Each team of the other teams exactly three times.

Q: 10) If a man can select one of 4 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes, how…

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Q: In a certain country, the car number plate is formed by 4 digits from the digits 1, 2, 3, 4, 5, 6,…

A:

Q: If n EN and n < 2000, how many numbersn have the property that the sum of the digits of n and the…

A:

Q: A bag contains 5 red marbles, 2 green ones, 1 lavender one, 2 yellows, and 3 orange marbles.  How…

A: Since we will make sets, so order does not matter. So we will use combination.  Atmost one of the…

Q: Assume that five men and five women are to sit in a row of ten chairs how many ways can these people…

A: Five men and five women are sitting in a row of ten chairs.

Q: Each marble bag sold by Raina's Marble Company contains 3 orange marbles for every 4 blue marbles.…

A:

Q: itially, 10 people have an infection. The next day, every infected people infects one more person.…

A: To find the number of days it will take for 1280 people to infect.

Q: In a​ bag, there are 11 purple and 7 green marbles. If you reach in and randomly choose 4 ​marbles,…

A: Given in a​ bag, there are 11 purple and 7 green marbles. If we reach in and randomly choose 4…

Q: For a Halloween party, each guest can choose from the 6 different kinds of candy to have in a prize…

A: Given,no.of different kinds of candy=8

Q: How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1…

A: Since we need at least 1 republican and at least 1 democrat in the committee. So we pick 1 of each…

Q: In a buffet, there are 4 choices of appetizers, 5 choices for the main dish, and 3 choices for the…

A: The answer is attached below,

Q: A girl owns 5 pairs of pants, 5 shirts, 4 ties, and 2 jackets. How many different outfits can the…

A:

Q: A pizza shop has 16 different toppings available for their pizzas. How many different possible…

A: Given: A pizza shop has 16 different toppings available for their pizzas. Each pizza contains 3…

Q: A university student is selecting courses for his next semester. He can choose from 5 humanities…

A: