SOLUTION: Eight students are playing the game “The boat is sinking”. If the instruction given is “group yourselves into 3”, how many possible groups are there?

Algebra ->  Permutations -> SOLUTION: Eight students are playing the game “The boat is sinking”. If the instruction given is “group yourselves into 3”, how many possible groups are there?      Log On


   

Question 1191780: Eight students are playing the game “The boat is sinking”. If the instruction given is “group yourselves into 3”, how many possible groups are there?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

There are   C%5B8%5D%5E3 = %288%2A7%2A6%29%2F%281%2A2%2A3%29 = 8*7 = 56  different groups.             ANSWER

Solved.

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

This problem is on  COMBINATIONS.

    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on 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.