1. Suppose that you are voting in an election for state delegate. Two state delegates are to be elected from among seven candidates. In how many different ways can you cast your ballot? Note: You may vote for two candidates. However, some people "single-shoot," and others don't pull any levers.
2. The object is to start with the letter A on top and to move down the diagram to an A at the bottom. From any given letter, move only to one of the letters directly below it on the left or right. If these rules are followed, how many different paths spell ALGEBRA?

G G G E E E E R R R RRR A A A A A A A