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Factorial শব্দের বাংলা অর্থ: গৌণিক
Factorial Meaning In Bengali গৌণিক
Factorial
গৌণিক,
Definition
1) In mathematics, factorial is a mathematical function that represents the product of all positive integers less than or equal to a given number. It is denoted by the symbol '!', and for a positive integer n, the factorial of n is written as n!.
2) Factorial is used to calculate the number of ways of arranging a specific number of objects without repetition. For example, the factorial of 4 (4!) is equal to 4 x 3 x 2 x 1 = 24, representing the number of ways 4 objects can be arranged in order.
3) The concept of factorial is commonly used in permutations and combinations in mathematics and is a fundamental operation in combinatorics and probability theory.
Examples
Factorial Example in a sentence
1) The factorial of 5, denoted as 5!, equals 5 x 4 x 3 x 2 x 1, which equals 120.
2) To calculate the factorial of a number, you multiply all positive integers less than or equal to that number.
3) The factorial function is often encountered in mathematics and computer science for various calculations.
4) The factorial of 0 is defined to be 1, as there is only one way to arrange zero elements.
5) The factorial notation is commonly represented using an exclamation point after the number.
6) When computing permutations or combinations, factorials are frequently used to determine the number of possible outcomes.
7) In programming, factorial calculations can be implemented using iterative or recursive methods.
8) The factorial of a non-negative integer n is the product of all positive integers up to n.
9) The factorial of a negative number is undefined in the context of factorial calculations.
10) Understanding factorials is essential when studying combinatorial mathematics and probability theory.
Part of Speech
Factorial (Adjective)
Synonyms
Factorial - (ADJECTIVE) গৌণিক
Encyclopedia
In mathematics, factorial is a mathematical function that represents the product of all positive integers less than or equal to a given number. It is denoted by the symbol '!', and for a positive integer n, the factorial of n is written as n!.
Factorial is used to calculate the number of ways of arranging a specific number of objects without repetition. For example, the factorial of 4 (4!) is equal to 4 x 3 x 2 x 1 = 24, representing the number of ways 4 objects can be arranged in order.
The concept of factorial is commonly used in permutations and combinations in mathematics and is a fundamental operation in combinatorics and probability theory.
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