Check FUNDRAISER The international club raised $1200 to buy livestock for a
community in a different part of the world. The club can buy an alpaca
for $160 and a sheep for $120. If the club wants to donate at least 8
animals, determine the system of inequalities to represent the situation.

moderators are

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."