Understanding Factorials

The video tutorial provides a comprehensive review of factorials, explaining their definition and properties. It demonstrates how to calculate factorials manually and using a calculator. The tutorial also covers methods for simplifying expressions involving factorials, including recognizing common factors and using advanced techniques. The video concludes with verifying calculations using a calculator.

What is the value of 0! according to the definition of factorials?

• 0

• 1

• Undefined

• N

Which of the following is a correct representation of 8! using the factorial property?

• 8 x 5!

• 8 x 6!

• 8 x 7!

• 8 x 4!

What is the result of 7! when calculated using a calculator?

• 2,520

• 1,260

• 720

• 5,040

Which button sequence is used to calculate 7! on a scientific calculator?

• 7, MATH, PRB, 4

• 7, MATH, PRB, 3

• 7, MATH, PRB, 2

• 7, MATH, PRB, 1

How can the expression 8!/6! be simplified?

• 8 x 7

• 8 x 6

• 8 x 5

• 8 x 4

What is the simplified result of 8!/6! using the factorial property?

• 56

• 48

• 72

• 64

In the expression 10!/7! x 3!, which numbers can be simplified first?

• 9 and 3

• 10 and 2

• 8 and 4

• 7 and 1

What is the final simplified result of 10!/7! x 3!?

• 120

• 240

• 60

• 180

Which common factor is used to simplify 8 and 2 in the expression 10!/7! x 3!?

• 3

• 2

• 5

• 4

What is the purpose of using parentheses in the calculator for 10!/(7! x 3!)?

• To ensure both factorials are in the denominator

• To separate the numerator and denominator

• To simplify the expression

• To calculate faster