1. Each switch on a panel of 5 light switches may be in an "on" or "off" position at any given time. One possible unique position of all 5 switches is shown.

Find the number of possible unique positions for all 5 light switches.

2.Recall the example about Louie's Bistro. You had a choice of 2 salads, mixed or Caesar. You had a choice of 4 entres: chili, club sandwich, roasted chicken, or grilled fish. Finally, for dessert, you could choose a brownie, a cupcake, or a piece of cheesecake.

How many different meals are possible if you do not have to choose an item from each category? Explain your solution.

1._nP₂ = 12

2.(n - 3)! / 2! (n - 4)! = 17

3.(-8)!

a) Nine runners have made it to the zone cross-country running finals. Harriett is considered the favourite to win based on her previous times. If she does win, in how many different orders can the other racers finish?

b)A local hockey club is setting up an online system for registration for its players.

Seven-character passwords will be assigned to each player and each password will start with the letter S to indicate the home club's team name, Sharks. The other digits in the password are made up of the numbers 4 through 9, and no digit can be repeated. How many passwords can the hockey club create?