Eight players wish to play every possible combination of mafia, inspector, and civilians and note that there will be 2 mafia and 5 civilians in each game.
In the party game Mafia, one-quarter of the players are randomly selected to be in the mafia, one other player is selected to be inspector, and the rest are civilians. Eight players wish to play every possible combination of mafia, inspector, and civilians and note that there will be 2 mafia and 5 civilians in each game. For 10 points, find the number of games they will play. You have 15 seconds.
In the party game Mafia, one-quarter of the players are randomly selected to be in the mafia, one other player is selected to be inspector, and the rest are civilians.
{168} (8*7/2 = 28 ways to choose the mafia, then 6 ways to choose the inspector)