<PRE><B>Question 1175171</B>
.


Each pattern is an &amp;nbsp;ORDERED &amp;nbsp;sequence of colors.


Therefore, &amp;nbsp;the answer to the problem&#39;s question is


    &amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;12*11*10*9 = 11880  &amp;nbsp;&amp;nbsp;different patterns.


Ordering is important, &amp;nbsp;so we use &amp;nbsp;PERMUTATIONS, &amp;nbsp;not combinations.


--------------


As usual, @ewatrrr gives incorrect answer/solution to this class of problems.



</PRE>