Question 1207712
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<pre>

In  {{{C[11]^5}}} = {{{11!/(5!*(11-5)!)}}} = {{{(11*10*9*8*7)/(1*2*3*4*5)}}} = 462 different ways.    <U>ANSWER</U>


It is the number of all possible combinations of 11 items/persons taken 5 at a time.
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Solved.


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Since the order of persons does not matter, &nbsp;this problem is on &nbsp;COMBINATIONS.


On &nbsp;Combinations, &nbsp;see introductory lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/PROOF-of-the-formula-on-the-number-of-combinations.lesson>PROOF of the formula on the number of Combinations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/Problems-on-Combinations.lesson>Problems on Combinations</A>

in this site.