Question 1171326: how many six-person lineups can be formed from a 12 player volleyball roster? every player plays every position
Answer by ikleyn(52818)   (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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