A local organization hosted a dance competition to raise money for its new building. The dance competition turned out to be very popular! The organization raised $374,318 for its new building. Change the digit in the thousands place so that the value of the new digit represents 1/10 of the value of the digit in the ten-thousands place. Explain how you know.

wait this depends wether emily and zach how they are thinking.

yes they are the same.

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."

the equation simplified is 7/8. but the lcd is 8.

well what is the rest of your problem?