![]() Slot machine manufacturers need to know how many ways the pictures on the wheels can line up, to calculate odds and prize money.Lottery organizations need to know how many ways numbers can be chosen in order to calculate odds.Why do we care about all this in real life? Combinations and permutations have hundreds (possibly, thousands) of applications, the most obvious of which is gambling: However, the kind of lock you put around your bicycle should (at least, from a stats point of view) be called a “permutation lock,” because the order does matter. The word “combinations” has slipped into English usage for things like a “combination lock”. Details matters: Eggs first? Then salt? Or flour first? Permutation isn’t a word you use in everyday language. Picking winners for a first, second and third place raffle is a permutation, because the order matters. Permutation: If you do care about order, it’s a permutation.You can also have combinations in mathematics, like combinations of functions or linear combinations. That’s because the order doesn’t matter (but the numbers you select do). Lottery tickets, where you pick a few numbers, are a combination. Think of combining ingredients, or musical chords: Flour, salt and water in a bowl is the same as salt, water and flour. Combination: If you don’t care what order you have things, it’s a combination.The hardest part about solving permutation and combination problems is: which is a combination and which is a permutation? The list can be in a set order (like 1st, 2nd, 3rd…) or a list that doesn’t have to be in order (like the ingredients in a mixed salad). ![]() The “things” can be anything at all: a list of planets, a set of numbers, or a grocery list. see the video? Click here.Ī permutation or combination is a set of ordered things.
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