SOLUTION: When testing for electrical current in the cable with six color coded wires a meter was used to test two wires at a time how many tests are required for every possible pairing of t

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: When testing for electrical current in the cable with six color coded wires a meter was used to test two wires at a time how many tests are required for every possible pairing of t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1127702: When testing for electrical current in the cable with six color coded wires a meter was used to test two wires at a time how many tests are required for every possible pairing of two wires
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.
There are  C%5B6%5D%5E2 = %286%2A5%29%2F2 = 3*5 = 15  different pairs  of  6 color coded wires.


Accordingly, in total, 15 tests are required, for one for each pair of wires.

----------------

This problem is on 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.