Jack has a large baseball card collection of 2640 cards. He has them organized alphabetically from A-> Z in groups of 30 cards. How many groups does he have?

Q: calculate the number of ways that the first, second, and third place horses can finish in a race…

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Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

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Q: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

A: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

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: A Zoom class has 48 students, and for an in-class activity they will be going into breakout rooms in…

A: a) The number of different breakout room assignments if the breakout room numbers matters is,…

Q: How many different teams of 4 can be chosen from a group of 15 children and 17 adults if each team…

A: According to provided data, there is total of 15 children (C) and 17 adults (A). Therefore, the…

Q: Bonita purchases 1225 white bouncy​ balls, 952yellow bouncy​ balls, and 504 orange bouncy balls. He…

A: Find the H.C.F of 1225, 952 and 504 that is 7 no of bags we have.

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: (i) Determine how many rows are in the corner section of a stadium containing 3920 seats if the…

A: the total number of seats in the stadium are 3920  the first row has 10 seats,  The second row has…

Q: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

Q: A pianist plans to play 9 pieces at a recital. In how many ways can she arrange these pieces in the…

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Q: How many ordered lists are there of eleven items chosen from fourteen?

A: Ordered lists are the lists in which position of each one matters  This can be solved by using…

Q: In a club with 7 male and 11 female​ members, how many 4-member committees can be chosen that have…

A: (a) From the given information, the club with 7 male and 11 female members. And 4-member committee…

Q: 5. Enrollment data shows 33.1% of students enrolled at ACC in Spring 2015 self-identified as…

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Q: Suppose the group of twenty consists of 8 men and 12 women. How many 7-person teams can be chosen…

A: Given data: The total numbers of people are n=20. The numbers of men are m=8. The numbers of women…

Q: How many ordered lists are there of seven items chosen from twelve?

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Q: How many ordered lists are there of two items chosen from twelve?

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Q: How many committees of five can be selected from eight men and seven women if the committees contain…

A: Number of men = 8  Number of women = 7  Total number of men and women = 15

Q: How many matches will be required to determine the champion in a single elimination tennis…

A: In single elimination tournament, each match eliminates one player. If all up there are x players,…

Q: Determine how many rows are in the corner section of a stadium containing 3920 seats if the first…

A:

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: A fedex driver has time to make deliveries at 6 locations among the 9 locations remaining. How many…

A: Solution: From the given information, 6 locations are to be chosen among 9 locations.

Q: Suppose that the number of students in a class increase by 2, the number of ways they may be…

A:

Q: Ten diplomats, each from a different country, are lined up in two rows of five for a photo. How many…

A: Ten diplomats, each from a different country, are lined up in two rows of five for a photo.   If the…

Q: A baseball team has 14 players. How many 9​-player batting orders are​ possible?

A: Given : A baseball team has 14 players.

Q: Find the seating capacity of a movie house with 40 rows of seats if there are 25 seats in the first…

A: Given that First row has 25 seatsSecond row has 28 seatsThird row has 31 seats and so on.Total…

Q: A drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the…

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Q: A large pile of coins consists of pennies, nickels, dimes, and quarters (at least 20 of each). How…

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

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: how many ordered lists are there of three items chosen from six ?

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Q: Apple has 252 sales repsin order to sell its apple watches.  Each to be assigned to 1 of 4 marketing…

A: Assume number of sales repsin in team2 be x and in team 4 be y So, number of sales repsin in team 1…

Q: how many times can you put 8 people in groups of 4

A: Here use combination

Q: How many different teams of 4 members can be selected from a pool of 20 applicants?

A: The combination formula is given by

Q: How many ordered lists are there of two items chosen from five?

A: To find the number of ordered lists.

Q: A survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to the…

A: Given a survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to…

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’…

Q: The World Health Organization is conducting a study of environmentally related diseases. In how many…

A:

Q: In a large school, it was found that 71% of students are taking a math class, 72% of student are…

A: Given : In a large school, it was found that 71% of students are taking a math class, 72% of student…

Q: If 1% of a shipment of 2000 light bulbs is defective, how many bulbs in the shipment are NOT…

A: Given, 1%  of a shipment of 2000 light bulbs is defective i.e, number of defective bulbs = 2000 *…

Q: Suppose that 5% of teachers at a university attended a conference. If 4000 teachers are enrolled at…

A: Number of teachers enrolled at the university = 4000 percentage of teachers who attended conference…

Q: A group of 4 journalists is to be chosen to cover a murder trial. There are 4 television…

A: Let's find number of groups can be formed.

Q: How many unordered sets are there of four items chosen from eight

A: According to the given information in this question We need to find the value of C(8,4)

Q: From a garden with 6 flower varieties, a bouquet of 3 differer types of flowers is to be picked. How…

A: using permutation and combination in these type of problems.

Q: How many ordered lists are there of two items chosen from six?

A:

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: Richard purchased 245 white bouncy balls, 238 yellow bouncy balls, and 84 orange bouncy balls. He…

A: Given that, the number of white balls is 245, the number of yellow balls is 238 and the number of…

Q: A committee of 4 people need to be selected from twenty numbers of an organization. How many…

A: Given, A committee of 4 people need to be selected from twenty numbers of an organization.

Q: For every 19 red tiles used, 8 blue tiles are used. If a total 567 tiles are used, how many of them…

A: