Let's say there are three balls in a bag – one green, one blue, and one yellow. That would have been a pretty big number of arrangements to find by hand, wouldn't it? Factorial example problem 2: drawing colored balls from a bag The word camper has 6 letters, so the number of possible arrangements is given by the factorial of 6: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720. How many different ways can you arrange the letters of the word camper? Factorial example problem 1: the letters in the word "camper" You typically use a factorial when you have a problem related to the number of possible arrangements. And that's making a sequence of zero elements. There is exactly 1 way to arrange zero elements. Well, how many different ways can you arrange 0 elements? Looking at the factorial from this point of view, what's the factorial of 0? Practically speaking, a factorial is the number of different permutations you can have with n items: 3 items can be arranged in exactly 6 different ways (expressed as 3!).įor example, let's see all the arrangements you can have with the three items, A, B and C: ABCĪnd in fact, 3! = 6. Here the first few factorial values to give you an idea of how this works: Factorial The factorial of 0 has value of 1, and the factorial of a number n is equal to the multiplication between the number n and the factorial of n-1. To calculate a factorial you need to know two things: The factorial of a number is the multiplication of all the numbers between 1 and the number itself. Let's see how it works with some more examples. So if you were to have 3!, for example, you'd compute 3 x 2 x 1 (which = 6). It represents the multiplication of all numbers between 1 and n. A factorial is a mathematical operation that you write like this: n!.
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