# Worksheet: Factorials

In this worksheet, we will practice finding the factorial of a known number and finding an unknown variable in an equation has factorial.

**Q1: **

Evaluate .

**Q2: **

Evaluate .

**Q3: **

Find the value of

**Q5: **

Simplify the expression . Give your answer as a fraction.

- A
- B
- C
- D
- E

**Q6: **

Find the value of such that .

**Q7: **

Find the solution set of .

- A
- B
- C
- D
- E

**Q8: **

Find the value of such that .

**Q9: **

Find the solution set of .

- A
- B
- C
- D

**Q10: **

Find the value of that satisfies the relation .

**Q11: **

Find the solution set of .

- A
- B
- C
- D

**Q12: **

If , evaluate the expression . Give your answer as a decimal.

**Q13: **

Evaluate .

**Q14: **

Given , find .

**Q15: **

Simplify the expression , giving your answer as a fraction.

- A
- B
- C
- D
- E

**Q16: **

Evaluate .

**Q17: **

If , find .

**Q18: **

Given , evaluate the expression .

**Q19: **

Given that and , find the values of and .

- A10, 3
- B9, 4
- C10, 4
- D9, 3

**Q20: **

Evaluate .

- A1
- B
- C
- D6
- E11

**Q21: **

If , find the value of .

**Q22: **

Find such that .

**Q23: **

If and , find .

**Q24: **

If , find .

**Q25: **

If , find .