Question 1177524
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Let R, B, and W represent red, blue, and white flowers.  Then the problem is asking for the number of different arrangements of the 12 objects<br>
RRRBBBBWWWWW<BR>
By a well-known counting principle, that number of ways is<br>
{{{12!/((3!)(4!)(5!))}}}<br>
Use a calculator....<br>