![]() In mathematics, the factorial of a number means the multiplication of the number with every positive integer less than that. The factorial of 100 is written as 100! and its value is 100 For example "9 factorial" is written as 9!. The symbol used to represent factorial is ' ! '. N+1 factorial can be calculated as (n+1)! = (n+1)n!. For example 8! (which is read as 8 factorial) = 8 ![]() What is the Meaning of Factorial of a Number?įactorial in math is one of the operations (denoted by the symbol "!") and the factorial of a number is the product of the number with all positive integers less than that number. ![]() This concept of factorial is used for finding permutations and combinations of numbers and events. It can be calculated using 10C 3.ġ0C 3 = (10!) / = 10! / (3! 7!) = (10 × 9 × 8 × 7!) / = 120 ways.įAQs on Factorial Where do We Use Factorials?įactorial is a function that is used to find the number of possible ways in which a selected number of objects can be arranged among themselves. This is a combination because here the order of distribution of prizes does not matter (because all prizes are of the same worth). In how many ways can the prizes be distributed? This is permutation because here the order of distribution of prizes matters. Let us understand this by the following examples.Įxample 1: In a group of 10 people, $200, $100, and $50 prizes are to be given. In both of these formulas, 'n' is the total number of things available and 'r' is the number of things that have to be chosen. It can be calculated with the formula: nC r = n! / Combination is a grouping of outcomes in which order does not matter.Permutation is an ordered arrangement of outcomes and it can be calculated with the formula: n P r = n! / (n - r)!.One area where factorials are commonly used is in permutations & combinations. For 7! multiply 720 (the factorial value of 6) by 7, get 5040. For example, to know the value of 6! multiply 120 (the factorial of 5) by 6, and get 720. To find the factorial of a number, multiply the number with the factorial value of the previous number. Observe the numbers and their factorial values given in the following table. So, "n factorial" is the product of the first n natural numbers and is represented as n! Symbolically, a factorial can be represented by using the symbol "!". ![]() The factorial of a whole number is the function that multiplies the number by every natural number below it. Thinking about how to calculate the factorial of a number? Let's learn. ![]() The study of factorials is at the root of several topics in mathematics, such as the number theory, algebra, geometry, probability, statistics, graph theory, and discrete mathematics, etc. And it was in the year 1808, when a mathematician from France, Christian Kramp, came up with the symbol for factorial: n!. Change ringing was a part of the musical performance where the musicians would ring multiple tuned bells. In the year 1677, Fabian Stedman, a British author, defined factorial as an equivalent of change ringing. It is represented using the symbol '!' So, 24 is the value of 4!. For example, the factorial of 4 is 4 × 3 × 2 × 1, which is equal to 24. Factorial of a whole number 'n' is defined as the product of that number with every whole number less than or equal to 'n' till 1. ![]()
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