Are these good problems? Any suggestions? Should I just quit? Ok well, here are some more. The difficulty level should increase.
(1) Mr. Prather, a hungry man, treats himself to some seafood. He can order either lobster, crab, or seaweed. The restaurant has 4 lobsters, 6 crabs, and 6 seaweeds. If Mr. Prather predetermined that he will eat 9 lives, how many choices does he have?
(2) The beings on Filo's planet Zarcon are not quite as chromosomally oriented as us, resulting in a people of little variety. There are only 4 genders. Any two Zarconites of the same gender are truly identical. It's as if they all jumped off four assembly lines. Ok, well if they don't have chromosomes, how do they reproduce? Luckily, the planet is already made of organic material. So, whenever one of the Zarconites feels biologically compelled to reproduce, it flips its 4-sided coin, which tells the Zarconite which of the 4 genders to make. The Zarconite obediently follows the corresponding reproduction code so impressed in its being, scooping up flesh much in the same way that a small child builds a sandcastle. All that to say, there are only 4 kinds of Zarconites. Here's the problem:
My pet skunk ran off the porch and died, so I headed off to the nearest Zarconite sale. With such a low demand, the salesman only brought 2 of each gender (total of 8). In how many ways can I purchase a total of 4 Zarconites?
(3) Can you relabel the six sides of two ordinary dice and keep the distribution of rolls? (2=1/36 of the time, 3=1/18 of the time, etc.)(You can't just rearrange the faces. Find something other than {1,2,3,4,5,6}.)