$6.$ Attack Active wants to form a five$-$member committee to investigate expanding its specialties into cryptocurrencies. How many ways are there to form a five$-$member committee from the employee directory above? Note: Include yourself in the calculation. Show and explain all steps.

$7.$ If the committee will have a Chairman, a General Secretary, and a Research Analyst, how many ways are there to form a three$-$member committee if each position is held by a different member of the committee? Note: Include yourself in the calculation. Show and explain all steps.

$8.$ Create a graph of all employees below. Let the vertices of the graph be represented by each employee$$s name. Hint: you should have $8$ vertices. If a pair of employees share a specialty, draw an edge to connect them and label the edge with the name of their shared specialty.