Question 1203989
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<pre>

The number of all possible outcomes is the number of all possible combinations of 18 balls taken 5 at a time


    {{{C[18]^5}}} = {{{(18*17*16*15*14)/(1*2*3*4*5)}}} = 8568.    <U>ANSWER</U>
</pre>

Solved.



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In this problem, the order of 5 balls does not matter - therefore, we consider 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.