A professor gives his students 6 essay questions to prepare for an exam. Only 2 of the questions will actually appear on the exam. How many different exams are possible?

Q: A group of 10 friends go to a movie theater to see a newly released film. The friends consist of…

A: As per the given information 5 married couples are there and each couple must sit together Possible…

Q: There are three consecutive odd integers. Three times the largest is seven times the smallest. What…

A: Please find the solution in the attachment

Q: A combination has 4 characters.  There are 2 letters and 2 numbers.  The numbers must be 0-9.  how…

A: Given : There are combinations of 4 characters. There are 2 letters and 2 numbers.

Q: A group of 12 people are going to run a race. The top 6 finishers are going to advance to the next…

A:

Q: Marvin is designing a toilet. There are 5 different bathtubs and 2 different sinks to choose from.…

A:

Q: To create and mix a salad, you have 14 different ingredients to choose from.  You will mix the…

A:

Q: Sarah has to put an outfit on a mannequin every day at her job. if there are 5 shirts, 4 pants,  and…

A: Number of shirts= 5 Number of pants= 4 Number of hats= 8

Q: Cleo writes down her four favorite numbers. When she takes three of them at a time and calculates…

A: The four numbers are a, b, c, and d.

Q: A professor has 180 students in her classes at the beginning of the semester, but 18 students…

A: At the beginning of the semester the professor has 180 students in her classes. But 18 students…

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 14…

A:

Q: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

Q: Please answer step by step. Thank you! Decide the number of possibilities of the given situation:…

A: It is required to pick 3 questions from a bank of 39 questions. n=39 r=3

Q: A political scientist has 12 volunteers for a political opinion survey. And political scientist Alex…

A: GivenNo.of volunteers(n)=12No.of volunteers to complete different variations of the survey(r)=2

Q: You volunteer to help drive children at a charity event to the​ zoo, but you can fit only 7 of the…

A: The objective of this question is to find out how many different groups of 7 children can be formed…

Q: Marissa's cycle repair shop fixes normal bicycles and tricycles. Marissa had to assemble a number of…

A:

Q: 4. A student must answer exactly seven questions out of twelve on the final exam. In how many ways…

A: We have to find the number of ways she can choose to answer the questions.

Q: There are 294 students in the senior class. Four of the students will be chosen to be the President,…

A: Given,Total no.of students=294

Q: Sherazan must make a dental appointment on Tuesday or Thursday. The dentist has 10 appointment times…

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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: In how many ways can 6 volunteers be assigned to 6 booths for a charity bazaar?

A:

Q: Find the combination A volleyball team has 15 players, two coaches, and three managers. In how many…

A: 15 players 2 coaches 3 managers 20 total people     how many ways can nine people sit in the front…

Q: Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10. In how many…

A: Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10.

Q: You are asked to make apple pies for the holidays . Each pie required 6 apples. How many apples will…

A: For the following problem,