Question

Evaluate each expression. $$ \frac{13 !}{9 !} $$

   Evaluate each expression.
$$
\frac{13 !}{9 !}
$$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 11, Problem 7

Instant Answer

Solved by Expert Joshua Eastwood

03/14/2020

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Step 1: We start by writing out the expression: $$ \frac{13 !}{9 !} $$ Show more…

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Evaluate each expression. $$ \frac{13 !}{9 !} $$

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Key Concepts

Factorial

Factorial is a mathematical function denoted by an exclamation mark (n!) that represents the product of all positive integers up to a given number n. It is fundamental in combinatorics, probability, and many areas of mathematics, as it helps in analyzing permutations, combinations, and other arrangements of objects.

Simplification of Factorial Expressions

Simplifying expressions involving factorials often involves canceling common factors in products. When an expression is in the form of a ratio of factorials, products in the numerator and denominator can be reduced to simplify computation, making it easier to evaluate or transform the expression.

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