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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~

    In how many different ways  =  = 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.



RELATED QUESTIONS

There are two sections in a question paper. In the first section 3 questions have to be... (answered by solver91311)
This question relates algebra and geometry. The problem has a rectangle. It is divided (answered by rothauserc)
A sheet of plywood consists of two outer sections that are 3/16 in. thick and a center... (answered by rfer)
Telulah has a spinner divided into four equal sections labeled A, B, C, and D. What is (answered by richard1234)
A spinner is divided into 24 sections. Four sections are red. Six sections are blue.... (answered by stanbon)
An exam consists of 10 multiple choice questions. Each question has 4 options, A, B, C,... (answered by richwmiller)
need some help with this question please. a stadium has two sections A and B .... (answered by stanbon)
In Faroe island, a sports training camp provides 3 different sections: one in Squash, one (answered by ikleyn)
an examination paper with ten questions consists of 6 questions in algebra and 4... (answered by richwmiller)