13. Bill and Sue both work a night shift. Bill has every seventh night off and Sue has every fourth night off. If they both have tonight off, how many nights will it be before they are both off at the same time again?

Q: 7) Six bands have volunteered to perform at a benefit concert, but there is only enough time for our…

A: Explanation of the answer is as follows

Q: 3. They planned to make a chicken vegetable salad; thus, they bought carrots, potatoes, lettuce,…

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A: Sol

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Q: 2. You have read 175 novels of the 350 in your home, but your sister has read 190, of which only 55…

A: Let us denote : A= number of novels read by me B= number of novels read by sister Given that…

Q: 9. Four married couple are to be seated around a circular table, which of the following is the…

A: Find your answer below

Q: (a) In a certain state, license plates have two letters followed by three digits. How many such…

A:

Q: 7) Eight bands have volunteered to perform at a benefit concert, but there is only enough time for…

A: Given: 8 bands volunteer to perform at a benefit concert. There is only time for 4 of the band to…

Q: c) There are 18 boys and 13 girls in an English class. During class, there is time for 6 students to…

A:

Q: 2. A medical researcher has found that in a group of 60 employees who use the same canteen…

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

Q: 5. a) How many ways can 6 people be lined up to get on a bus? b) If a certain 3 persons insist on…

A:

Q: 2 a) Six friends together with their respective partners all meet up for a meal. To commemorate the…

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Q: In how many ways can you schedule your summer tour to visit the major Italian cities of Roma,…

A: Given information: Schedule for summer tour include visiting the major Italian cities of Roma,…

Q: (g) A company has two employees with 12 offices. How many ways are there to assign different offices…

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Q: (ii) exactly ten buses arrive from 5.00 pm to 6.30 pm, and three buses arrive from 6.30 pm to 7 pm?

A: please do (ii) only .   In one hour time, average number of buses leaving station A = 12  then , In…

Q: 6 A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to maintain…

A: Committee selections , using permutations and combinations

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Q: There are 25 students in Mrs.​ Pietz's fifth grade class at an international school. All of the…

A: Given ,          Total no of students=25         No of students can speak English=18        No…

Q: 2. If we have 100 (identical) tennis balls and 40 identical bags to place them in, how many ways are…

A: Given Information: Number of tennis balls = 100. Number of bags = 40. a) The bags are non -empty.…

Q: In how many ways can you seat two children and three adults in a row of five seats if the children…

A: Number of ways of arranging two children       =2! Number of ways of arranging three adults…

Q: A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii)…

A: i) deliver to all means arranging 10 customers in  all ways possible Total number of ways = 10! =…

Q: In how many ways can seven gentlemen and three ladies be seated in a round table if: (a) there are…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: 1. In how many ways can you seat four adults and seven children along one side of a rectangular…

A: A  rectangular table has 4 sides One side of the rectangle table can be chosen in C1 = 4!1!*3!=44…

Q: 14. The four women Anne, Betsie, Charlotte and Dolores and the six men Eric, Frank, George, Harry,…

A: Permutation: When the arrangement of the objects or numbers in an order matters then, this is called…

Q: 11.7.33 E Question Help At the reception line of a wedding, the bride, the groom, the best man, the…

A: Counting rule: Formula for counting rule:

Q: Using polya's strategy, Suppose thirty-six (36) students signed up for classes during an orientation…

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Q: (a) In a certain state, license plates have two letters followed by four digits. How many such…

A:

Q: 3- Practiôns 7 At a pet store, 10 of the puppies are black and of the puppies are 10 white. If you…

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Q: 5. Four married couples have bought 8 seats in the same row for a concert. In how many. different…

A: a). The number of possible permutations of n object is n!. So, the number of permutation for 8…

Q: 3. How many possible ways to assign a room for each of the 5 students, suppose we have 8 rooms…

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

Q: 1. At a certain university 523 of the seniors are history majors or math majors (or both). There are…

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

Q: 10. A shop sells 15 kinds of doughnuts, among them are plain, choco-filled, and strawberry-filled.…

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Q: 10. Five Filipino, four Canadians, and four Brazilians are to sit at a circular table. In how many…

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Q: 8. A committee of 5 people is to be chosen from a group of 6 mer and 4 women. How many committees…

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Q: 2. A certain ice cream store has 31 flavours of ice cream available. In how many ways can we order a…

A: Given,store has 31 flavours of ice creamand we are buying 12 ice cream.

Q: a) Felicia is deciding on her schedule for next semester. She must take each of the following…

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Q: Batman, Robin, and Alfred all have $100,000 in a chest. Batman's pile increases by $2,550. Robins…

A: Money in Batman’s chest = $100000 Increase in Batman’s chest = $2550 Total money in Batman’s chest =…

Q: 6 people consisting of 3 couples are seated in a row of 6 chairs to take group pictures. (a) In how…

A: in following ways they can be seated

Q: 4. Six people attend the theater together and sit in a row with exactly six seats. a. How many ways…

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Q: 2- The Swansons are planning to fly to Hawaii from Toronto with a stopover in Los Angeles. There are…

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Q: The top two students in the grade 12 mathematics' class are to receive awards for the highest mark…

A:

Q: (a) In a certain​ state, license plates have two letters followed by three digits. How many such…

A:

Q: 11. ( a. In how many ways can they finish? b. The top five runners win medals. In how many ways can…

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Q: 2/9 of the students in a school are in the sixth grade. How many sixth graders are there if the…

A: Given,29of the students in a school are in the    sixth grade    Total number of students =27

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A: Here use counting principle that is combination

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A: