SOLUTION: In a dance contest,each participating group must perform 3 kinds of dance.If there are 5 choices for ballroom dance,7 choices for foreign dance,and 6 choices for hip-hop dance,in h

Algebra ->  Permutations -> SOLUTION: In a dance contest,each participating group must perform 3 kinds of dance.If there are 5 choices for ballroom dance,7 choices for foreign dance,and 6 choices for hip-hop dance,in h      Log On


   

Question 1178814: In a dance contest,each participating group must perform 3 kinds of dance.If there are 5 choices for ballroom dance,7 choices for foreign dance,and 6 choices for hip-hop dance,in how many possible ways can a dance group select their piece?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

In 5*7*6 = 210 ways.

Fundamental counting principle.

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Solved and answered.


On Fundamental counting principle, see the lesson
    - 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 lesson is 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.