Mark is covering the top of a table with some left-over ceramic tiles. How many patterns can he make if he uses 3 blue tiles, 2 yellow and one each of white, red and black tiles? Show all steps.

Linda must choose a shirt, a pair of pants, and a cap for today's outfit. She has 2 shirts, 2 pairs of pants, and 3 caps to choose from. How many different outfits can she make? X

Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.

Jim  is designing stripes with five parallel colors on a piece of cloth. How many stripes can jim generate with the colors red, green, blue, yellow, and orange while having two or more consecutive reds?