PERMUTATION
PERMUTATION
PERMUTATION
1.Define permutation.
2.Try to illustrate permutation using the four
different methods.
3.Illustrate the permutation using tree
diagram or listing method.
▪What and why do we count?
▪What is a faster way to count?
▪Why do we group things?
▪Why do we need to arrange
things?
A close friend invited Rosa to her birthday
party. Rosa has 3 new blouses (stripes, with
ruffles, and long-sleeved) and 2 skirts (pink,
and black) in her closet reserved for such
occasions. Assuming that any skirt can be paired
with any blouse, in how many ways can Rosa
select her outfit?
❑What was the situation about?
❑How many arrangements were you able to
make?
❑Do you think that these are all the possible
arrangements?
❑What did you think Permutation is?
➢Is refer to all possible arrangement of a set of objects.
➢It can be illustrated by :
- listing,
- making a tree diagram,
- making a table, or by
- using the Fundamental Counting Principle (FCP).
•Arranging 4 different shoes on a shoe
rack.
•Creating your pin code in your ATM card.
•A combination lock on your padlock.
Stripes –pink
Blouses Skirts Stripes – black
stripes pink With ruffles – pink
With ruffles – black
with ruffles black Long-sleeved – pink
Long-sleeved Long-sleeved – black
Blouses Skirts
pink
stripes black
pink
with ruffles black
pink
Long-sleeved black
Blouses Skirts Stripes –pink
stripes pink Stripes – black
stripes black With ruffles – pink
With ruffles pink With ruffles – black
With ruffles black Long – sleeved – pink
Long-sleeved pink
Long – sleeved – black
Long-sleeved black
The Fundamental Counting Principle (also known as the
Multiplication Rule or the Sequential Counting Principle)
can be used also in determining the number of possible
arrangements of set of objects.
So, using the FCP in determining the number of
possible outfits out of the 3 blouses and 2 skirts, we just;