Juan has $500 in his bank account. At the end of each month he plans to deposit $75. If these are his only transactions, which expression could be used to show the
amount of money Juan will have in his account after m months?

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."