Permutation and combination are two fundamental concepts in mathematics, particularly in the field of combinatorics, that deal with arranging or selecting objects. While they both involve choosing items from a set, the key difference lies in whether the order of selection matters..

1. Permutation and Combination

2. Learning
Objectives:
 Compare permutation and
combination according to
their mini order answer
derivation and formulas

3. MEANING
refers to several ways of
choosing item from a
large set of objects
such, that their order
does not matters.
refers to the different
ways of arranging a set
of objects in a
sequential order.
PERMUTATION COMBINATION

4. ORDER
Order, placement
and position are
irrelevant.
Order, placement
and position are
relevant.
PERMUTATION COMBINATION

5. DENOTES
Selection; Combination
indicates different ways
of selecting menu,
items, food, clothes
subject, etc.
Arrangement,
Permutation denotes
several ways to arrange
things, people, digits,
alphabets, color,etc.
PERMUTATION COMBINATION

6. ANSWER
How many different
groups can be chosen
from a larger group of
objects?
How many different
arrangement can be
created from a given
set of objects.
PERMUTATION COMBINATION

7. EXAMPLE
Picking top 10 finalist
in no order in a
Beauty Pageant.
Choosing a first, second
and third place winner
from a Beauty Pageant.
PERMUTATION COMBINATION

8. FORMULA
Number of combinations
order does not matter of
"n" things taken "r" at a
time.
Number of permutation
(order matters) of "n"
things taken "r" at a
time.
PERMUTATION COMBINATION

9. 1. Ranking people.
2. Sequencing of draws.
3. Lacking with a definite sequence.
4. Forming of words with the given
letters.
5. Forming of numbers with the given
digits
Examples of relating to Permutation

10. 1. Handshaking with other
2. Numbering in no particular order
3. Picking multiple objects in one draw
4. Forming of a team from a number of
players
5. Forming of a particular committee
from a number of players
Examples of relating to Combination

11. Write P if the situation involves a Permutation and C if is a
Combination.
____ 1. Choosing five volleyball players from a
group of nine.
____ 2. Six toppings for pizza.
____ 3. Selecting seven student to form classroom
officers.
____ 4. 3 different pupils sit on 2 chairs.
Exercise:

12. ____ 5. Opening a combination lock.
____ 6. Assembling a jigsaw puzzle.
____ 7. Forming a committee of five members from
20 people.
____ 8. Two girls and three boys sit in a row of five
seats.

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17. PERMUTATION COMBINATION
refers to the different
ways of arranging a set
of objects in a
sequential order.
refers to several ways of
choosing item from a
large set of objects
such, that their order
does not matters.

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