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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
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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?
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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  

    C%5B8%5D%5E4 = %288%2A7%2A6%2A5%29%2F%281%2A2%2A3%2A4%29 = 70.

Solved.

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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.