A teacher is organizing a seating plan for the students in the first row.  The first row has either 5 seats or 9 seats, depending on how the desks are positioned.  Determine the number of seating arrangements the teacher has.

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a…

A: Here we have to find the total numbers of ways so that they can arrange themselves in a row of…

Q: A senior inspector will inspect 10 rooms this week. (d) To have a fair representation, how many…

A:

Q: In a​ company, 95​% of the workers are women. If 115 people work for the company who​ aren't women​,…

A: Let the total no.of workers are X. Given, 115 people aren't women . Then ,no of women workers=X-115

Q: If a girl has 6 skirts, 10 blouses, and 8 pairs of shoes, how many different skirt-blouse-shoe…

A: We need to find the number of total outfits in given situation.

Q: A student is to answer 12 out of 15 questions on an exam. How many choices does he have?

A: The total number of questions in the exam is 15. The student has to answer 12 out of 15 questions.…

Q: Find the number of ways to divide 20 people into Group A (8 people), Group B (7 people) and Group C…

A:

Q: A landscaper wants to plant four oak trees, eight maple trees, and six poplar trees along the border…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A pile of logs is arranged in a number of tiers, where the number of logs in the upper layer and the…

A: Given: Number of logs in bottom layer: 92 Number of logs in top layer:  35

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: in a qualifying race for a road cycling event, 15 men competed for five slots.How many different…

A: Given The total number of men (competed)=15 The number of slots=5 Apply permutation formula…

Q: 2. Explain how you would find out how many committees of 4 boys and 2 girls can be found from a…

A: Here use combination

Q: If 3 Americans, 4 British people and 2 French people are to be seated in a row, how many seating…

A:

Q: Explain how you would find out how many committees of 4 boys and 2 girls can be found from a group…

A:

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a…

A:

Q: A theater has 30 rows with 27 seats in the firstrow, 31 in the second row, 35 in the third row, and…

A:

Q: Determine the seating capacity of an auditorium with 15 rows of seats if there are 10 seats in the…

A:

Q: If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: Given: 11 people are to be seated in a row of 11 chairs. The objective is to find different seating…

Q: if  there was 56 students and 8 groups how many were in each group

A: Given that  Number of students=56 Number of groups=8 To find Number of students in each group.

Q: A dietitian in a hospital is to arrange a special diet using three foods,

A: A dietitian in a hospital is to arrange a special diet using three foods, L, M, and N. Each ounce of…

Q: Find the number of ways in which nine contestants can be ranked first, second, third, fourth and…

A:

Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: On Halloween, a cartoon character, a bumble bee, a viking, a forest ranger, and a butterfly ring the…

A: here 6 people are in line and come one by one.  here order os selection matters  so this is case of…

Q: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

A:

Q: In a group of dogs and their owners, there are exactly 20 heads and 64 legs.  How many dogs are in…

A: Let, x be No of men. y be no of dogs   Men consists of 2 legs and dog has 4 legs.   x+y=20 2x+4y=64

Q: An amphitheater has 15 seats in the first row and gains 4 additional seats in each successive row.…

A: Sum of the Arithmetic Series is n(a1+an)/2. Here, n is the number of terms a1 is the first term an…

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

A:

Q: Find the number of different ways that an instructor can choose 4 students from a class of 23…

A: Given: Number of students = 23 Number of students to be chosen = 4

Q: How large was the audience of each of the four companies at the end of that year? Microsoft Time…

A: Here by solving given equation retrieve value of x ,y,z and u

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

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Q: A golf-course architect has six linden trees, five white birch trees, and three bald cypress trees…

A:

Q: The first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34 seats,…

A: Given: he first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34…

Q: A teacher must pick 3 high school students from a class of 30 to prepare and serve food at the…

A: Suppose , we have n items. Then, the number of ways we can choose r number of items from n items…

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…

A:

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: A woman has two skirts and six blouses. Assuming that they all match, how many different skirt and…

A: As we know, nCx=n!(x)!  *  (n-x)! ; where n!=1*2*3*.....(n-1)*n

Q: \item How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his…

A: Note: As per our Honor code policy, we are authorized to answer only three sub parts at a time. So,…

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: If a guy has 4 apples and he gives away the 3 how many apples will he have ?

A:

Q: A luxury liner has 20 rooms in the upper deck. In how many ways can three passengers be assigned to…

A: The number of room in the upper deck is 20. The number of passenger is 3.

Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…

Q: From the group of 5 freshmen, 6 sophomores and 8 seniors, how many committees can be formed if each…

A:

Q: How many ordered arrangement can be made for the letters in the word FOOD TECHNOLOGY (not including…

A: Given word is"FOOD TECHNOLOGY"letter 'o' is repeated 4 timesno.of in the given word is 14

Q: In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are 30…

A: Given:Number of Guest = 30

Q: A restaurant offers a choice of 5 salads, 15 main courses, and 9 desserts. How many possible…

A: We have find the probability of given problem.

Q: Jim, Sanjay, Dean, and Shannon found seats in a row at the cinema. In how many different orders can…

A: From the given information, Jim, sanjay, dean and Shannon found seats in a row at the cinema.…

Q: In a theater, there are 22 seats in the first row and 3 more seats in each following row. How many…

A:

Q: The math club wants to choose a committee to plan the back to school party. How many 5 person…

A: Here we need to find the number of possible ways in which we can form a committee of 5 members from…

Q: An architect designs a theater with 18 seats in the first row, 22 in the second, 26 in the third,…

A:

Q: A girl has four skirts and six blouses. How many different skirt-blouse combinations can she wear?

A: The girl can wear 4 skirts in four patterns.While she can wear 6 blouses in 6 patterns.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.