SOLUTION: To promote reading, a teacher decides to feature 3 classics, 4 contemporary novels and 2 non-fiction books on a notice board. How many selections can she make from 5 classics, 6 co

Algebra ->  Permutations -> SOLUTION: To promote reading, a teacher decides to feature 3 classics, 4 contemporary novels and 2 non-fiction books on a notice board. How many selections can she make from 5 classics, 6 co      Log On


   

Question 1179390: To promote reading, a teacher decides to feature 3 classics, 4 contemporary novels and 2 non-fiction books on a notice board. How many selections can she make from 5 classics, 6 contemporary novels and 4 non-fiction books?
Answer by ikleyn(52778) About Me  (Show Source):
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To promote reading, a teacher decides to feature 3 classics, 4 contemporary novels and 2 non-fiction books
on a notice board. How many selections can she make from 5 classics, 6 contemporary novels and 4 non-fiction books?
~~~~~~~~~~~~~~ 

Write as you read


    how many selections = C%5B5%5D%5E3.C%5B6%5D%5E4.C%5B4%5D%5E2 = 10*15*6 = 900.    ANSWER

Solved.

This problem combines your knowledge on Combinations and on Fundamental counting principle.

See the lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - Fundamental counting principle problems
    - 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.