SOLUTION: A teacher makes a multiple choice quiz with 12 questions. 3 answers are A, 3 answers are B, 2 answers are C and 4 answers are D. How many possible answer keys are there?

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Question 1159772: A teacher makes a multiple choice quiz with 12 questions. 3 answers are A, 3 answers are B, 2 answers are C and 4 answers are D. How many possible answer keys are there?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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C%5B12%5D%5E3.C%5B9%5D%5E3.C%5B6%5D%5E2 = %2812%2A11%2A10%29%2F6.%289%2A8%2A7%29%2F6.%286%2A5%29%2F2 = 220*84*15 = 277200.    ANSWER

Solved.

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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
    - 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.