Lesson: Finding Probability Using Permutations

A small combination padlock can be opened by entering three different specified numbers from 1 to 9 in a specified order. Harry has 10 attempts to guess the combination. Determine the probability of him opening the lock.

A student ID number consists of 7 digits where each digit is a number from 0 to 9. Given that no digit can be repeated, find the probability that a randomly generated ID number is 7651932.

Two people are chosen randomly from a group of six hundred two. What is the probability that Adam was selected first and Lawrence second?

Peter and Marilyn are graduating in a class of 57 students. If each student is assigned a number from 1 to 57 at random, what is the probability that Peter’s number will be 1 and Marilyn’s will be 2?

A company randomly assigns work identification numbers to their employees. Each number consists of 3 digits from 1–9. If the digits cannot be repeated, find the probability for a randomly generated number to be 315.