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 eight colors?  Select:	A) 21	B) 56	C) 105	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/56/C means that the following combinations CANNOT be used by any other chemical:   A56C   AC56   56AC   56CA   CA56   C56A   56y extension, the first part of your calculation would be the number of possible substances that could be identified with 7 colors: 8c3 = 56 possible substances   56
<result>B</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 eight colors?