Permutation and Combination

Learning objectives:
1
Discus the value of time.

“Combination
a counting technique that
determines the number of
possible arrangements in a
collection of items where
the order of the selection
does not matter.

Other examples of events
that involve Combination:
A fruit salad is a combination of apples,
grapes, bananas and others.
Picking three winners
Picking three members from a baseball
team

“Permutation
a counting technique that
determines the number of
possible arrangements in a
collection of items where
the order of the selection
does matter.

Other examples of events
that involve Permutation:
The combination to the safe is 472.
Picking first, second and third place winners
Picking a team captain, pitcher and
shortstop of a baseball team

Combination
-the order does not matter
Permutation
-the order matters

ACTIVITY 1: “Race to Raise!”
Teams: 3
Mechanics:
1. Identify if each event or arrangement deals
with combination or permutation.
2. Write your answers on the tagged board.
3. Correct answers will be given one point each.

Identify if the statement deals with combination or
permutation. Write your answer on your tagged board.
1. A team of 8
basketball players
needs to choose a
captain and co-
captain.

1. A team of 8
basketball players
needs to choose a
captain and co-
captain.
PERMUTATION

2. There are 45
applicants for three
Computer
Programmer
positions.

2. There are 45
applicants for three
Computer
Programmer
positions.
COMBINATION

3. You are setting the
combination on a three-
digit lock. You want to
use the numbers 123
but don't care what
order they are in.

3. You are setting the
combination on a three-
digit lock. You want to
use the numbers 123
but don't care what
order they are in. PERMUTATION

4. A group of 45
people are going to
run a race. The top
three runners earn
gold, silver, and
bronze medals

4. A group of 45
people are going to
run a race. The top
three runners earn
gold, silver, and
bronze medals
PERMUTATION

5. A group of 25
people are going to
run a race. The top 8
finishers advance to
the finals.

5. A group of 25
people are going to
run a race. The top 8
finishers advance to
the finals.
COMBINATION

ACTIVITY 2: “Seatwork”
Directions: State if each scenario involves a combination or a permutation. Write
your answers on a ¼ sheet of paper.
1. A team of 8 basketball players needs to choose a captain and co-captain.
2. Rob and Mary are planning trips to nine countries this year. There are 13
countries they would like to visit. They are deciding which countries to skip.
3. The batting order for seven players on a 12-person team.
4. There are 45 applicants for three Computer Programmer positions.
5. Castel and Joe are planning trips to three countries this year. There are 7
countries they would like to visit. One trip will be one week long, another two
days, and the other two weeks.

Permutation and Combination

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