Answer each of the following. In how many ways can 6 persons be seated in a row? In how many ways can 8 students occupy the 8 seats in a

Q: This year, there are ten freshmen, eight sophomores, nine juniors, and nine seniors are eligible to…

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Q: This year, there are eight freshmen, nine sophomores, seven juniors, and seven seniors are eligible…

A: There are 8 freshmen, 9 sophomores, 7 juniors and 7 seniors are eligible to be on a committee. Thus,…

Q: By hand please. show step-by-step: A group of four students is to be chosen from a 35-member class…

A: Given data: Total student = 35 4 = students to be chosen To find: How many ways can this be done?

Q: Romano's Restaurant has the menu shown in the figure below. In how many ways can a meal consisting…

A: Given Information: The menu shows that there are 6 toppings for the pizza, 6 beverages, and 5…

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A.   The number of ways a student can be…

Q: n how many ways can 5 men, 4 women, and 3 children be arranged in a row of 12 seats if a. the men…

A: Given that  Number of men = 5 Number of women = 4 Number of children = 3 Number of seats in the row…

Q: This year, there are ten freshmen, seven sophomores, eight juniors, and eight seniors are eligible…

A:

Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: A class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the…

A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: Select a committee of seven members from a group of six women and eight men. The order of selection…

A: Given that  A committee of seven members  Group of 6 women and 8 men

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 7 patients…

A: Given Number of patients=7

Q: Nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them stand in…

A: As per the policy of bartleby the provisions is to solve 3 subparts of questions now I am solving…

Q: This year, there are ten freshmen, seven sophomores, ten juniors, and eight seniors are eligible to…

A: Followings are the Explanation of the question  Number of ways to select k items from n, nCk= n!/(k!…

Q: 10 people are in a club. How many ways are there to form a committee consisting of members of the…

A: 1. Number of ways to form a committee consisting of members of the club such that the committee has…

Q: Tents hold 2,3,5,6, or 12 people. How many combinations of tents are possible to sleep 30 if all…

A: Tents hold 2,3,5,6, or 12 people.The objective is to find the number of combinations of tents…

Q: how many ways can a teacher sit 12 students in two rows of 6 chairs if Bobby must sit in the front…

A: Given: Total number of students = 12 Number of seats in each row = 6 Bobby is in first row and Billy…

Q: A marching band formation consists of8 rows. The first row has 5 musicians, the second has 7. the…

A: In Arithmetic Progression  Nth term is a1+(n-1)d

Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?

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Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: A student is told to work any 8 out of 15 questions on an exam. In how   many different ways can he…

A: He will pick a group of questions. The arrangement will not matter, so we will use the combination…

Q: You have 20 pennies, 30 nickels, and 40 dimes. Assume that the pennies are identical, the nickels…

A:

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

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Q: A student has 12 video games: 4 adventure games, 2 arcade games, 3 puzzle games, and 3 simulation…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…