1. Among a group of 5 people, is it possible for everyone to be friends with exactly 2 of the people in the group? If so, draw a graph that represents such a scenario. If not, justify why it is impossible.

You'd like to study social networks. Consider the following 26 people {A,B,C,...,X,Y,Z} in a social network graph. (These people can be thought of as "nodes" or points drawn on a piece of paper.)  Here, we'd like to model "followers." How many different ways can we draw arrows between two people from these 26? Here, "A-->B" (A is a follower of B) is not the same as "B-->A" (B is a follower of A). Order matters here.

In 2011 the United States federal government decided that all businesses must pay their employees a minimum wage of $7.25 per hour.  However, state governments could decide that businesses in their states should pay their employees more than the $7.25 per hour. Below is a graph of hourly minimum wage requirements for five states.   Use the information provided in the graph to decide which of the following statements is NOT TRUE!     New York's hourly wage requirement is about the same as the federal minimum wage requirement.     The hourly wage in Ohio is more than $1 above the hourly wage in Minnesota.     Oregon has the highest hourly wage requirement at over $8.00 per hour.     The hourly wage in New York is more than double the hourly wage in Georgia.