Probability - A Beginner's Guide To Permutations And Combinations Quotes

“An important thing to know is that there will always be at least as many permutations of a set as combinations, and typically many more permutations than combinations.”
― Scott Hartshorn, Probability - A Beginner's Guide To Permutations And Combinations: The Classic Equations, Better Explained

“Permutations are what you use when the order matters. For instance, if 8 people are racing in a track meet, and you want to find the different ways they could get 1st, 2nd, and 3rd place, then the order matters. So you would use a permutation. Combinations are what you use when the order doesn’t matter. For instance, if you have 10 different pieces of clothing you want to take on a trip, but you can only fit 7 of them in your suitcase, it matters which 7 you pick, but it doesn’t matter what order you put them in the suitcase, so you would use a combination”
― Scott Hartshorn, Probability - A Beginner's Guide To Permutations And Combinations: The Classic Equations, Better Explained