SOLUTION: A question paper consists of 3 sections A, B and C. Section A consists of 4 questions, sections B & C consist of 3 questions each. In how many different ways a student can select 3

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Question 1191516: A question paper consists of 3 sections A, B and C. Section A consists of 4 questions, sections B & C consist of 3 questions each. In how many different ways a student can select 3 questions from section A, 2 from section B and 1 from section C?
Answer by ikleyn(52776) About Me  (Show Source):
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A question paper consists of 3 sections A, B and C.
Section A consists of 4 questions, sections B & C consist of 3 questions each.
In how many different ways a student can select 3 questions from section A, 2 from section B and 1 from section C?
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    In how many different ways  = C%5B4%5D%5E3%2AC%5B3%5D%5E2%2AC%5B3%5D%5E1 = 4*3*3 = 36.    ANSWER

Solved.

This problem combines two conceptions: combinations and fundamental counting principle.


On these conceptions,  see the lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - Fundamental counting principle problems
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.