Q1.A university has a numerical parking pass system where the parking passes are three digits long with no repeated digits and no 0's. There are 502 parking spaces in the parking lot and the university is unsure if they need to invest in making a new lot. Should the university invest in making a second parking lot? Explain why with words.

Q2. You are thinking of using some ceramic tiles to make a decorative design for a patio. You have eight azure, five rose gold, and seven ivory tiles. In how many ways can make the border if your design uses a total of seven rose gold and ivory tiles and you want to use more rose gold than ivory? Explain your reasoning with math and words.