A triangle marked A,B and C on its three sides . Three colors, grey, violet, and purple are used to paint the three sides of the triangle. If the adjacent faces are painted with the different colors, in how many ways can the triangle sides be painted?	Options.
A) 3 B) 8 C) 6 D) 12 E) 36
If the base of the triangle is grey, then in order the adjacent faces to be painted with the different colors . Then 2 sides can be painted in Violet-Purple-Violet-Purple OR Purple-Violet- Purple-Violet (2 options).   But we can have the base painted in either of the three colors, thus the total number of ways to paint the triangle is   3*1= 
<gadget id="calculator">  3*1</gadget>
<output>3</output>
3.   3nswer: 3.
<result>A</result>
A triangle marked A,B and C on its three sides . Three colors, grey, violet, and purple are used to paint the three sides of the triangle. If the adjacent faces are painted with the different colors, in how many ways can the triangle sides be painted?