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?

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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(52778) About Me  (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 C%5B8%5D%5E5 ways = %288%2A7%2A6%29%2F%281%2A2%2A3%29 = 56 ways.    ANSWER

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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.