every card in a deck has a picture of one shape - circle, square, or triangle, which is painted in one of the three colors - red, blue, or green. furthermore, each color is applied in one of three shades - light, medium, or dark. the deck has cards, with every shape-color-shade combination represented. a set of three cards from the deck is called complementary if all of the following statements are true: i. either each of the three cards has a different shape or all three of the cards have the same shape. ii. either each of the three cards has a different color or all three of the cards have the same color. iii. either each of the three cards has a different shade or all three of the cards have the same shade. how many different complementary three-card sets are there?