SOLUTION: A professor gives his students 8 essay questions to prepare for an exam. Only 5 of the questions will actually appear on the exam. How many different exams are possible?

Algebra.Com
Question 1132852: A professor gives his students 8 essay questions to prepare for an exam. Only 5 of the questions will actually appear on the exam. How many different exams are possible?

Answer by ikleyn(52779)   (Show Source): You can put this solution on YOUR website!
.

If an exam is a combination of 5 questions, then the answer is as follows.

          You can choose 5 items from 8 by  ways =  = 56 ways.    ANSWER

----------------

On Combinations,  see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - OVERVIEW of lessons on Permutations and Combinations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.


RELATED QUESTIONS

A college professor prepares an exam of only eight questions. Prior to the exam, he gave... (answered by solver91311)
A science professor is making an exam for his students. There are 32 true/false questions (answered by stanbon)
An exam will have 20 questions and be worth a total of 100 points. There will be a... (answered by solver91311)
A student is to answer 8 out of 10 questions on an exam . Find the number n of students... (answered by greenestamps)
A professor gives a 15 question MCQ quiz. For each question in the quiz, there are five... (answered by stanbon)
A student is preparing for an upcoming midterm exam. The professor given the student 40... (answered by stanbon)
You take a test in which there are 157 points possible. The test consists of true/false... (answered by ikleyn)
You take a test in which there are 341 points possible. The test consists of true/false... (answered by jorel555)
A student is preparing for an upcoming midterm exam. The professor given the student 40... (answered by stanbon)