7.1 The Multiplication Rule for Counting
Counting the outcomes of a multistage choice by multiplying the options available at each stage, the base every later counting formula rests on.
Contemporary Mathematics, 7.1 The Multiplication Rule for Counting
2 exercises
7.1 Exercise 3
The University Combinatorics Club has 31 members: 8 seniors, 7 juniors, 5 sophomores, and 11 first-years. How many possible 4-person committees can be formed by selecting 1 member from each class?
7.1 Exercise 5
The standard license plates for vehicles in a certain state consist of 6 characters: 3 letters followed by 3 digits. There are 26 letters in the alphabet and 10 digits (0 through 9) to choose from. How many license plates can be made using this format?
Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.