SOLUTION: (a) How many ways are there to select three math help websites from a list that contain six different websites? (b) How many way can four finalist for a job be elected from 10 i

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Question 1173325: (a) How many ways are there to select three math help websites from a list that contain six different websites?
(b) How many way can four finalist for a job be elected from 10 interviewees?

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  The number of ways = C%5B6%5D%5E3 = %286%2A5%2A4%29%2F%281%2A2%2A3%29 = 20.



(b)  The number of ways =  C%5B10%5D%5E4 = %2810%2A9%2A8%2A7%29%2F%281%2A2%2A3%2A4%29 = 210.

Solved and answered.

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This problem is about 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.