SIMPLIFYING FACTORIAL EXPRESSIONS WORKSHEET

Simplify without using a calculator.

Problem 1 :

6! / 5!

Solution

Problem 2 :

6! / 4!

Solution

Problem 3 :

6! / 7!

Solution

Problem 4 :

4! / 6!

Solution

Problem 5 :

100! / 99!

Solution

Problem 6 :

7! / (5! × 2!)

Solution

Simplify:

Problem 7 :

n! / (n - 1)!

Solution

Problem 8 :

(n + 2)! / n!

Solution

Problem 9 :

(n + 1)! / (n - 1)!

Solution

Simplify the following expressions.

Problem 10 :

5! / 6!

Solution

Problem 11 :

7! / 5!

Solution

Problem 12 :

(3!)² / 9

Solution

Problem 13 :

(3! ∙ 4!) / 5!

Solution

Problem 14 :

9! /(5! ∙ 3!)

Solution

Problem 15 :

(4 - 1)! / 4!

Solution

Problem 16 :

(2 ∙ 3)! / 3!

Solution

Problem 17 :

88! / 90!

Solution

Problem 18 :

(77! ∙ 2!)/ 78!

Solution

Problem 19 :

38! ∙ 3! / 39!

Solution

Answer Key

1)  6

2)  30

3)  1/7

4)  1/30

5)  100

6)  21

7)  n

8)  (n + 2) (n + 1)

9)  n(n + 1)

10)  1/6

11)  42

12)  4

13)   6/5

14)  504

15)  1/4

16)   120

17)  1/8010 

18)  1/39

19)  2/13

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