The document provides a review of permutations, outlining four types: permutation of n objects taken all at a time, permutation of n objects taken r at a time, distinguishable permutation, and circular permutation. It includes example problems with their corresponding answers, demonstrating how to determine the type of permutation and solve related questions. Additionally, it offers a step-by-step method for solving permutation problems.

1. SOLVING PROBLEMS
INVOLVING PERMUTATIONS
QUARTER 3-LESSON 5

2. PERMUTATION REVIEW!
Direction: Identify to which type of permutations each problem
belongs. Choose the letter of the correct answer from the box
below with corresponding types of permutations.
CHOICES:
A.Circular Permutation
B.Distinguishable Permutation
C.
Permutation of n objects taken all at a time
D.Permutation of n objects taken r at a time

3. PERMUTATION REVIEW!
1. In how many ways can 5 people
be arranged for a picture taking?

4. PERMUTATION REVIEW!
2. Given 5 flavors of ice cream, in how
many ways can you select 2 flavors?

5. PERMUTATION REVIEW!
3. Find the number of permutations of
the letter of the word GOOGLE.

6. PERMUTATION REVIEW!
4. Five variety of potted plants can be
arranged in a mini circular garden, in
how many ways can Maria arranged
them?

7. PERMUTATION REVIEW!
5. If there are 10 people and only 6
chairs available, how many ways can
they be seated?

8. LET’S CHECK YOUR ANSWERS!

9. PERMUTATION REVIEW!
1. In how many ways can 5 people
be arranged for a picture taking?
C. Permutation of n objects taken all
at a time

10. PERMUTATION REVIEW!
2. Give 5 flavors of ice cream, in how
many ways can you select 2 flavors?
D. Permutation of n objects taken r at
a time

11. PERMUTATION REVIEW!
3. Find the number of permutations of
the letter of the word GOOGLE.
B. Distinguishable Permutation

12. PERMUTATION REVIEW!
4. Five variety of potted plants can be
arranged in a mini circular garden, in
how many ways can Maria arranged
them?
A. Circular Permutation

13. PERMUTATION REVIEW!
5. If there are 10 people and only 6
chairs available, how many ways can
they be seated?
D. Permutation of n objects taken r at
a time

14. Concept Notes
Solving problems involving permutation
has 4 different types, namely: permutation of n
objects taken all a time, permutation of n
objects taken r at a time, distinguishable
permutation and circular permutation.

15. REMEMBER!
To solve word problems, all you have to do is to follow the following steps:
1. Analyze the given problem very carefully and list down the
given data.
2. Identify the type of permutation.
3. Show an Illustration based on the given problem.
4. Write down the formula.
5. Substitute and solve the formula.
6. Answer the question.