Simplifying Expressions and Factorials

The video tutorial explains how to simplify a factorial expression: 7! divided by the product of 5! and 2!. It begins by defining factorials and providing an example with 4!. The tutorial then expands the given expression and simplifies it by canceling common factors in the numerator and denominator. The final result of the simplification is 21.

What is the value of 4 factorial?

• 12

• 24

• 32

• 16

Which of the following is the correct expansion of 5 factorial?

• 5 x 4 x 3 x 2

• 5 x 4

• 5 x 4 x 3

• 5 x 4 x 3 x 2 x 1

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

What common factor can be canceled out from both the numerator and denominator in the given expression?

• 6 factorial

• 3 factorial

• 4 factorial

• 5 factorial

Tags

CCSS.6.EE.A.2C

After canceling out the common factors, what is the simplified result of the expression?

• 14

• 21

• 28

• 18

Tags

CCSS.6.EE.A.2C

Which number simplifies to 3 when canceling common factors in the expression?

• 4

• 5

• 6

• 7

Tags

CCSS.6.EE.A.2C