Five green, three red, and two white candles are being arranged on three shelves. No shelf can hold more than 2 green candles. The top shelf holds no red candles. The bottom shelf holds exactly 4 candles. The middle shelf holds more candles than the top shelf. There are more white candles on the bottom shelf than the middle shelf.
List the different arrangments of candles that could be placed on the top shelf.
1 green; 2 green; or 1 green and 1 white
If there are 4 candles on the bottom shelf and more candles on the middle shelf than on the top shelf, then the middle shelf must have 4 or 5 candles, and the top shelf must have 1 or 2. If the top shelf has 1 candle, it must be green. If the top shelf has 2 candles, they must be 2 green or 1 green and 1 white since we can't have red on top and we must have at least 1 green.