Factorials definitions Flashcards
Factorials definitions
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Factorial Mathematical operation multiplying a number by every whole number less than itself down to one, denoted by an exclamation point. Exclamation Point Symbol used to represent the factorial operation in mathematics, placed after a number or variable. Whole Number Non-negative integer values used in factorial calculations, starting from zero and increasing by one. Zero Factorial Special case in factorials, defined as 1, despite having no positive integers to multiply. Combinatorics Mathematical field where factorials are used to count arrangements and selections of objects. Probability Area of mathematics utilizing factorials to determine the likelihood of various outcomes. Sequence Ordered list of numbers where factorials may be used to define or analyze patterns. Series Sum of terms in a sequence, sometimes involving factorials in their expressions. Expression Mathematical phrase involving numbers, variables, and operations, such as those containing factorials. Simplification Process of reducing mathematical expressions, often by canceling factorial terms or applying properties. n Factorial Product of a positive integer n and all positive integers less than n, foundational in many mathematical formulas. Recursive Formula Rule expressing each term as a function of its preceding term, as seen in factorial definitions. Division Property Technique for simplifying ratios of factorials by canceling common terms, such as n! divided by (n-1)!