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| - Sigui . Llavors el seu factorial es defineix com .
- Se llama factorial de un número natural , al producto de todos los naturales, desde 1 hasta , es decir: es decir: Por definición left|40px|Icono de esbozo El contenido de esta página es un esbozo sobre aritmética. [ Ampliándolo] ayudarás a mejorar MATH. Puedes ayudarte aquí.
- Factorial is a function denoted by a trailing exclamation point (!), which is defined for all non-negative integers. For any positive integer, it outputs the product of all natural numbers between 1 and that number, inclusive: The notation is read " factorial". Alternatively, one could think of the product as being in the opposite order: As a consequence of the empty product, As a concrete example: Factorials are commonly used in combinatorics and probability theory. It is also used in Taylor polynomials and infinite series.
- $$n! = \prod^n_{i = 1} i = n \cdot (n - 1) \cdot \ldots \cdot 4 \cdot 3 \cdot 2 \cdot 1.$$ For example, \(6! = 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 720\). It is equal to the number of ways \(n\) distinct objects can be arranged, because there are \(n\) ways to place the first object, \(n - 1\) ways to place the second object, and so forth. The special case \(0! = 1\) has been set by definition; there is one way to arrange zero objects. Before the notation \(n!\) was invented, \(n\) was common.
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| abstract
| - $$n! = \prod^n_{i = 1} i = n \cdot (n - 1) \cdot \ldots \cdot 4 \cdot 3 \cdot 2 \cdot 1.$$ For example, \(6! = 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 720\). It is equal to the number of ways \(n\) distinct objects can be arranged, because there are \(n\) ways to place the first object, \(n - 1\) ways to place the second object, and so forth. The special case \(0! = 1\) has been set by definition; there is one way to arrange zero objects. Before the notation \(n!\) was invented, \(n\) was common. The function can be defined recursively as \(0! = 1\) and \(n! = n \cdot (n - 1)!\). The first few values of \(n!\) for \(n = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11\) are 1, 1 , 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, and 39916800.
- Sigui . Llavors el seu factorial es defineix com .
- Factorial is a function denoted by a trailing exclamation point (!), which is defined for all non-negative integers. For any positive integer, it outputs the product of all natural numbers between 1 and that number, inclusive: The notation is read " factorial". Alternatively, one could think of the product as being in the opposite order: As a consequence of the empty product, As a concrete example: Factorials are commonly used in combinatorics and probability theory. It is also used in Taylor polynomials and infinite series. The factorial function can also be seen as a specific case of the gamma function (), which extends the factorial to the complex plane (excluding the non-positive integers). In particular, for all values for which the factorial is defined:
- Se llama factorial de un número natural , al producto de todos los naturales, desde 1 hasta , es decir: es decir: Por definición left|40px|Icono de esbozo El contenido de esta página es un esbozo sobre aritmética. [ Ampliándolo] ayudarás a mejorar MATH. Puedes ayudarte aquí.
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