what will be the factorial of zero
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Why Does Zero Factorial Equal One?
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Zero factorial
C.K.Taylor
by
Courtney Taylor
Updated June 11, 2018
A zero factorial is a mathematical expression for the number of ways to arrange a data set with no values in it, which equals one. In general, the factorial of a number is a short hand way to write a multiplication expression wherein the number is multiplied by each number less than it but greater than zero. 4! = 24, for example, is the same as writing 4 x 3 x 2 x 1 = 24, wherein one uses an exclamation mark to the right of the factorial number (four) to express the same equation.
Search
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Science, Tech, Math › Math
Why Does Zero Factorial Equal One?
Share
Zero factorial
C.K.Taylor
by
Courtney Taylor
Updated June 11, 2018
A zero factorial is a mathematical expression for the number of ways to arrange a data set with no values in it, which equals one. In general, the factorial of a number is a short hand way to write a multiplication expression wherein the number is multiplied by each number less than it but greater than zero. 4! = 24, for example, is the same as writing 4 x 3 x 2 x 1 = 24, wherein one uses an exclamation mark to the right of the factorial number (four) to express the same equation.
It is pretty clear from these examples how to calculate the factorial of any whole number greater than or equal to one, but why is the value of zero factorial one despite the mathematical rule that anything multiplied by zero is equal to zero?
The definition of the factorial states that 0! = 1. This typically confuses people the first time that they see this equation, but we will see in the below examples why this makes sense when you look at the definition, permutations of, and formulas for the zero factorial.