Decide whether each of the following statements is true. If false, demonstrate why.
a. !
b.
c. !
A. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The statement is true.
B. The statement is false because and
(Simplify your answers.)

Ask by Willis Park. in the United States

Jan 23,2025

Question

Decide whether each of the following statements is true. If false, demonstrate why.
a. !
b.
c. !
A. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The statement is true.
B. The statement is false because and
(Simplify your answers.)

Ask by Willis Park. in the United States

Jan 23,2025

UpStudy AI · Accepted Answer

Let's evaluate each statement one by one:

---

**a. $$ 6! = 6 \cdot 5! $$**

- **Evaluation:**
  $$
  6! = 720 \
  6 \cdot 5! = 6 \cdot 120 = 720
  $$
  
- **Conclusion:**
  
  **A. The statement is true.**

---

**b. $$ 3! + 3! = 6! $$**

- **Evaluation:**
  $$
  3! + 3! = 6 + 6 = 12 \
  6! = 720
  $$
  
- **Conclusion:**
  
  **B. The statement is false because $$ 3! + 3! = 12 $$ and $$ 6! = 720 $$.**

---

**c. $$ \frac{6!}{2!} = 3! $$**

- **Evaluation:**
  $$
  \frac{6!}{2!} = \frac{720}{2} = 360 \
  3! = 6
  $$
  
- **Conclusion:**
  
  **B. The statement is false because $$ \frac{6!}{2!} = 360 $$ and $$ 3! = 6 $$.**

---

### Summary

- **a.** A. The statement is true.
- **b.** B. The statement is false because $$ 3! + 3! = 12 $$ and $$ 6! = 720 $$.
- **c.** B. The statement is false because $$ \frac{6!}{2!} = 360 $$ and $$ 3! = 6 $$.
a. A. The statement is true. b. B. The statement is false because $$ 3! + 3! = 12 $$ and $$ 6! = 720 $$. c. B. The statement is false because $$ \frac{6!}{2!} = 360 $$ and $$ 3! = 6 $$.

Decide whether each of the following statements is true. If false, demonstrate why.
a. !
b.
c. !
A. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The statement is true.
B. The statement is false because and
(Simplify your answers.)

Solución de inteligencia artificial de Upstudy

Responder

Solución

Summary

The Deep Dive

preguntas relacionadas

Latest Pre Algebra Questions

Decide whether each of the following statements is true. If false, demonstrate why. a. ! b. c. ! A. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The statement is true. B. The statement is false because and (Simplify your answers.)

Solución de inteligencia artificial de Upstudy

Responder

Solución

Summary

The Deep Dive

preguntas relacionadas

Latest Pre Algebra Questions

Decide whether each of the following statements is true. If false, demonstrate why.
a. !
b.
c. !
A. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The statement is true.
B. The statement is false because and
(Simplify your answers.)