Jaime has a photograph that is 4cm long and 6cm wide. She wants to enlarge the photo by a scale factor of 3 to use on her Science project tri-fold. Describe the relationship between the areas of original image and the new image.

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."

(-infinity,infinity)