A Pentagon marked P,Q,R,S and T on its five sides. five colors, black, brown,blue,violet and white are used to paint the five sides of the pentagon. If the adjacent faces are painted with the different colors, in how many ways can the pentagon be painted? Choose the correct choice from the following answers: A) 5 B) 9 C) 12 D) 6 E) 3
If the base of the pentagon is Black, then in order the adjacent faces to be painted with the different colors. 4 side faces can be painted in Brown-White-Violet-Blue Brown-White-Violet-Blue OR White-Blue-Violet-Brown White-Blue-Violet-Brown .   But we can have the base painted in either of the four colors, thus the total number of ways to paint the Pentagon is   5*1= 
<gadget id="calculator">  5*1</gadget>
<output>5</output>
5.   5nswer: 5.
<result>A</result>
A Pentagon marked P,Q,R,S and T on its five sides. five colors, black, brown,blue,violet and white are used to paint the five sides of the pentagon. If the adjacent faces are painted with the different colors, in how many ways can the pentagon be painted?