1. A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 14 characters long, and that each character is either a lowercase letter, (a, b, c, etc.), an uppercase letter (A, B, C, etc.) or a numerical digit (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9). Assume that the hacker makes random guesses. What is the probability that the hacker guesses the password on his first try? Enter your answer as a decimal or a fraction, not a percentage.

2. At the ice cream shop, there are 20 flavors of ice cream available. How many ways can you select a bowl of 4 scoops of ice cream if each scoop is a different flavor? Your answer is :

The ice cream shop has 6 types of toppings available, and you decide to add 3 toppings to your bowl of 4 scoops of ice cream. How many combinations of 4 scoops of ice cream and 3 toppings are possible? Your answer is :