SOLUTION: how many six-person lineups can be formed from a 12 player volleyball roster? every player plays every position

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Question 1171326: how many six-person lineups can be formed from a 12 player volleyball roster? every player plays every position
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.

    12*11*10*9*8*7 = 665280  different ways, in all.    ANSWER



In wording form, for EASY MEMORIZING :


        The product of 6 consecutive integers, starting from 12, in DESCENDING order.

Solved.

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It is about special type of PERMUTATIONS.

See the lesson
    - Special type permutations problems
in this site to learn more about it.


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.




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