SOLUTION: From a set of 12 math books, 13 science books, and 10 literature books, in how many ways can a student select 2 from each set?

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Question 1149140: From a set of 12 math books, 13 science books, and 10 literature books, in how many ways can a student select 2 from each set?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

In  C%5B12%5D%5E2*C%5B13%5D%5E2*C%5B10%5D%5E2 = %28%2812%2A11%29%2F2%29%2A%28%2813%2A12%29%2F2%29%2A%28%2810%2A9%29%2F2%29 = 231660 ways.

Solved and answered.

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C%5Bm%5D%5En in my solution is the number of COMBINATIONS of "m" items taken "n" at a time.

For introductory lessons on COMBINATIONS see
    - 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.