Use a calculator's factorial key to evaluate each expression. (300/20)!

검증된 단계별 안내

Identify the expression to evaluate: \(\left( \frac{300}{20} \right)!\).

Simplify the fraction inside the factorial: calculate \(\frac{300}{20}\).

Once simplified, rewrite the expression as \(n!\), where \(n\) is the result from the previous step.

Recall that the factorial function \(n!\) means the product of all positive integers from 1 up to \(n\), i.e., \(n! = n \times (n-1) \times (n-2) \times \cdots \times 1\).

Use a calculator's factorial key to compute the value of \(n!\) based on the simplified integer \(n\).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Factorial Function

The factorial of a non-negative integer n, denoted n!, is the product of all positive integers from 1 to n. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120. Factorials grow very quickly and are commonly used in permutations, combinations, and probability.

Order of Operations

Order of operations dictates the sequence in which parts of a mathematical expression are evaluated. In the expression (300/20)!, you first perform the division inside the parentheses, then apply the factorial to the result. This ensures accurate calculation.

Using a Calculator's Factorial Key

Many scientific calculators have a factorial function, often labeled as 'n!'. To evaluate expressions like (300/20)!, you first compute the division, then use the factorial key on the resulting integer. This simplifies calculations of large factorials.