There are 14 possibilities for first place.
There are 13 possibilities for second place, since a dog can't get both first and second place.
There are 12 possibilities for third place, since a dog can't get both first, second, and third place.
There are 11 possibilities for fourth place, since a dog can't get both first, second, third, and fourth place.
Multiply them together and get 24024 possibilities.
Hope this helps!
Make the fractions have common denominators.
rings 5 / 9 * 5/5 = 25/45
earrings 5/15 * 3/3 = 15/45
So, now we can compare 25 to 15. 25 is 5/3 bigger than 15.
or the ring inventory is 1.666666666... times greater than the earring inventory.