How many different playing orders would there be for a card game of four people?

Here's how to figure out the different playing orders for a card game with four people:

* First Player: You have 4 choices for who goes first.

* Second Player: Once the first player is chosen, you have 3 choices left for who goes second.

* Third Player: You now have 2 choices left for the third player.

* Fourth Player: There's only 1 person left, so there's only one choice for the final player.

To get the total number of different orders, you multiply the number of choices at each step: 4 * 3 * 2 * 1 = 24

Therefore, there are 24 different playing orders for a card game with four people.