If there are 8 people at a party,

  1. How many possible ways are there for all of them to line up (to get drinks, for example)?
  2. How many possible ways are there to pick four of those people out of the drink line, keeping them in order?
  3. How many ways are there to pick a group of 4 out of the 8 (like to play cards)?
  4. How long would it take for everyone at the party to introduce themselves to everyone else at the party, if an introduction takes 15 seconds?