At a certain laboratory, chemical substance are identified by an unordered combination of three different colors. If no chemical may be assigned the same three colors as any other, what is the maximum number of substances that can be identified using nine colors?	Select the correct option:
A) 21
B) 35
C) 84
D) 135
E) 210
The prompt tells us that substance is identified by an UNORDERED combination of 3 colors and that no chemical may be assigned the same 3 colors as any other chemical.   As an example, a chemical with the colors A/B/84 means that the following combinations 84ANNOT be used by any other chemical:   AB84   A84B   BA84   B84A   84AB   84BA   By extension, the first part of your calculation would be the number of possible substances that could be identified with 9 colors: 9c3 = 84 possible substances   84
<result>C</result>
At a certain laboratory, chemical substance are identified by an unordered combination of three different colors. If no chemical may be assigned the same three colors as any other, what is the maximum number of substances that can be identified using nine colors?