There are five employees up for promotion. There are only three open promoted  positions: Head of Sales, Financial Director, and Security Manager. How many possible  ways can these positions be filled?    Please answer with details on how to do it.

Q: Last month,137 people signed up for the swim lessons at city pool. Each of the 7 swim teachers had…

A: Given that 137 people signed for swim lessons. We need to find the number of students that each of…

Q: 1200 freshmen enrolled in a big university. If there are 50 more males than females. How many male…

A: We have to find number of male freshmen.

Q: a honda dealership sells both motorcycles and cars. There are a total of 200 vehicles on the…

A: Let the number of cars be x. Then, the number of motorcycle be (200-x)

Q: You just got a free ticket for a boat ride, and you can bring along 2 friends! Unfortunately, you…

A: Given: Total friends = 5 Number of friends that could be brought along = 2

Q: There

A: Please refer to the image below

Q: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

A: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

Q: Mrs. Walton bought 2 small, 1 medium, and 1 large orange drinks at the Sunshine Orange Palace for…

A:

Q: There are 148 juniors and 272 seniors attending prom this year. If there must be three chaperones…

A: Given there are 148 juniors and 272 seniorsTotal students=148+272=420Given that there must be 3…

Q: Joe, Megan, and Santana are salespeople. Their sales manager has 18 accounts and must assign six…

A:

Q: There are 14 male employees and 9 female employees at a shoe store.  The store manager wants to form…

A: Since he is picking as a team so we will use the combination method because arrangement does not…

Q: The park rules require that on duty for every 50 people who visit the parl How many guards should be…

A: The park rules require that one security guard be on duty for every 50 people who visit the park.…

Q: On the final day of their class trip to Washington D.C. , Mr. Parke let’s his students choose what…

A: A fraction is a number in the form xy (where x and y are both integers and y ≠ 0). In the above…

Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you…

A: Given : Total number of friends = 5 Number of friends can bring = 3

Q: One Sunday, 681 people visited the zoo. Of these, 291 were men, 135 were women, and the rest were…

A: Total people visited the zoo = 681 Total men = 291 Total women = 135

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A:

Q: There are 100 students who are taking history or sociology. If 10 are taking both courses and 45 are…

A: There are 100 students who are taking history or sociology and 10 are taking both courses and 45 are…

Q: The security department has 6 employees. Four of them won't have to work on Thanksgiving day. How…

A: No. of employees in a security department(n)=6No. of employees that the supervisor wants to select…

Q: The Science Club has 20 male and 18 female members. How many different ways can one male and one…

A:

Q: Charmaign’s daughter has $12.00 she wants to spend on comic books and superhero cards. Comic books…

A: Given that the total amount to be spent is $12, cost of each comic book is 6 cents is $0.06 and cost…

Q: You work as a health inspector and must visit each of the 15 restaurants in town once each week, In…

A: Given,Total restaurants=15

Q: thinkco needs to hire 2 marketing research employees. how many ways are there for the company to…

A: Number of marketing research employees r = 2  Number of qualified applicants(n) = 10

Q: Mr Mathews owns a few ice-cream trucks. If he places 5 workers in each truck, he will have 3 extra…

A: Given that  Mr Mathews owns a few ice-cream trucks. If he places 5 workers in each truck, he will…

Q: 23. Busy Bank Tellers. The Prescott National Bank has six tellers available to serve customers. The…

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