**Determine whether the given statement makes sense or does not make sense, and explain your reasoning.**"I estimate there are approximately 10,000 ways to arrange the letters A, B, C, D, E, … , X, Y, Z."---**Choose the correct answer below.**- **A.** This statement makes sense because according to the Fundamental Counting Principle, the number of ways to arrange the letters is equal to \(26 \cdot 25 \cdot \ldots \cdot 2 \cdot 1\) and this value is approximately 10,000.- **B.** This statement makes sense because according to the Fundamental Counting Principle, the number of ways to arrange the letters is equal to \(26 + 25 + \ldots + 2 + 1\) and this value is approximately 10,000.- **C.** This statement does not make sense because according to the Fundamental Counting Principle, the number of ways to arrange the letters is equal to \(26 + 25 + \ldots + 2 + 1\) and this value is much less than 10,000.- **D.** This statement does not make sense because according to the Fundamental Counting Principle, the number of ways to arrange the letters is equal to \(26 \cdot 25 \cdot \ldots \cdot 2 \cdot 1\) and this value is much greater than 10,000.

Answered: Image /qna-images/answer/bac2381e-85d9-47e2-ac86-f99ccbc11412.jpg

Determine whether the given statement makes sense or does not make sense, and explain your reasoning. I estimate there are approximately 10,000 ways to arrange the letters A, B, C, D, E, ..., X, Y, Z. Choong the or hower holow

Determine whether the given statement makes sense or does not make sense, and explain your reasoning. I estimate there are approximately 10,000 ways to arrange the letters A, B, C, D, E, ..., X, Y, Z. Choong the or hower holow

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

100%

**Determine whether the given statement makes sense or does not make sense, and explain your reasoning.**

"I estimate there are approximately 10,000 ways to arrange the letters A, B, C, D, E, … , X, Y, Z."

---

**Choose the correct answer below.**

- **A.** This statement makes sense because according to the Fundamental Counting Principle, the number of ways to arrange the letters is equal to \(26 \cdot 25 \cdot \ldots \cdot 2 \cdot 1\) and this value is approximately 10,000.

- **B.** This statement makes sense because according to the Fundamental Counting Principle, the number of ways to arrange the letters is equal to \(26 + 25 + \ldots + 2 + 1\) and this value is approximately 10,000.

- **C.** This statement does not make sense because according to the Fundamental Counting Principle, the number of ways to arrange the letters is equal to \(26 + 25 + \ldots + 2 + 1\) and this value is much less than 10,000.

- **D.** This statement does not make sense because according to the Fundamental Counting Principle, the number of ways to arrange the letters is equal to \(26 \cdot 25 \cdot \ldots \cdot 2 \cdot 1\) and this value is much greater than 10,000.

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