SOLUTION: Mr. Box doesn't want to make it easy for his students to cheat. He uses a 8 question problem bank to assign his students quiz questions. How many different 4 problem quizzes can he

Question 1194277: Mr. Box doesn't want to make it easy for his students to cheat. He uses a 8 question problem bank to assign his students quiz questions. How many different 4 problem quizzes can he make if the order of the questions is not considered?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
Mr. Box doesn't want to make it easy for his students to cheat.
He uses a 8 question problem bank to assign his students quiz questions.
How many different 4 problem quizzes can he make
if the order of the questions is not considered?
~~~~~~~~~~~~~~~~~~~

This question is "how many different combinations of 8 questions taken 4 at a time are possible ?"


By applying the standard formula for combinations, the answer is  

     =  = 70.

Solved.

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

Since the order of questions does not matter, this problem is on COMBINATIONS.

On Combinations, see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on 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.

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