The factorial of hundred of an integer “n” is defined as the product of that number by each integer up to 1. For example, a factor of 4 is 24 means 4 x 3 x 2 x 1. The symbol this means “!” So 24 is the value of 4! In 1677, the British writer Fabian Steadman described the worker as the voice of change. The episode change is part of a music show where musicians play different tunes. And it was in 1808 that the French mathematician Christine Crump invented the fax symbol: n! The study of factories is the basis for many math courses such as number theory, algebra, geometry, probability, statistics, graph theory, discrete mathematics, etc.
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What is the factorial of hundred?
factorial of hundred is said to be the product that is obtained by multiplying the given positive number (N) by the number 1. For example, if you want to find the factorial of the number N, then for that you have to multiply all the numbers from 1 to N as you can see in the examples below.
Example = 100 Factorial, that is, 100! can be written as: 100! = 100×99×……5×4×3×2×1 = 9.332621544 E+157.
See the numbers and Factorial in the table below. To find the factorial number, multiply the factory number by the previous number. For example, if you want to know the value 6! 120 (coefficient 5) is multiplied by 6 to become 720.For 7! 720 (factorial 6) multiplied by 7 gives 5040.
|2||2 × 1||= 2 × 1!||= 2|
|3||3 × 2 × 1||= 3 × 2!||= 6|
|4||4 × 3 × 2 × 1||= 4 × 3!||= 24|
|5||5 × 4 × 3 × 2 × 1||= 5 × 4!||= 120|
What is the factorial of hundred in C language?
You must have known the meaning of factorial but in C programming also we use factorial and in that we only extract factorial through the program but the difference is that we use ‘*’ instead of ‘×’.
- 3 = 1 * 2 * 3 = 6
- 5 = 1 * 2 * 3 * 4 * 5 = 120
- 7 = 1 * 2 * 3 * 4 * 5 * 6 * 7 = 5040
Do not get confused by seeing the asterisk symbol ( * ) in the above program. To multiply in C programming, the asterisk symbol (*) is used instead of this symbol ( x ).
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What is the formula for finding the factorial of a number?
The formula for finding factorial is:- n!=n×(n−1)!
This means that the factorial of any number is, the given number, multiplied by the factorial of the previous number.
What are the advantages of factorial of hundred
• They are more efficient than one-factor-at-a-time experiments of a factorial of hundred.
• If interactions are possible, an optional design is required present to avoid misleading conclusions.
• Factor designs allow for object effects calculated at multiple levels by other factors and give valid conclusions in order experimental conditions.
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factorial table from 1-10
|Number (n)||Factorial (n!)|
It is well known that factorial 0 equals 1 (one). It can be stated that 0! = 1
There are several reasons to justify the notation and significance described above. First, the definition provides compensation for compact expressions of a large number of formulas, including the exponential function, and the definition extends the iteration relationship to 0.
In addition, where n = 0, its factorial definition (n!) Consists of a product without numbers, which means that it corresponds to a multiplicative identity in broader terms.
In addition, the definition of zero factorial includes only the permutation of zero or no objects. Finally, the definition also confirms many combinatorial identities.