SOLUTION: in 2006, six of eleven men's basketball teams in the big ten conference were to participate in the NCAA men's basketball championship tournament. if six of the eleven schools are s

Algebra ->  Probability-and-statistics -> SOLUTION: in 2006, six of eleven men's basketball teams in the big ten conference were to participate in the NCAA men's basketball championship tournament. if six of the eleven schools are s      Log On


   

Question 1136857: in 2006, six of eleven men's basketball teams in the big ten conference were to participate in the NCAA men's basketball championship tournament. if six of the eleven schools are selected at random, what is the probability that the six teams chosen were the actual six teams selected to play?
Answer by ikleyn(52805) About Me  (Show Source):
You can put this solution on YOUR website!
.

The number of all possible different subsets of 6 elements in the set of 11 elements

is the number of combinations of 11 items taken 6 at a time   


    C%5B11%5D%5E6 = %2811%2A10%2A9%2A8%2A7%29%2F%281%2A2%2A3%2A4%2A5%29 = 462.


The probability to select randomly one specific subset of these 462 subsets is equal to 


    P = 1%2F462 = 0.0022 = 0.22%.         ANSWER

Solved.

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

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.