Fundamental Counting Principle

1. Direction: Arrange the jumbled letters to determine the
correct answer within 10 seconds. Each correct answer has
a highlighted letter that will reveal our WORD of the DAY.

2. It is the set of all
possible outcomes.
SMLEAP
SECPA

4. It is the result of your
experiment.
OTCEMOU

6. It is a central or primary
rule or principle on
which something is
based.
FNMDNUAETLA

8. It is an activity with an
observable result.
EPREMXIENT

10. It is an arrangement of
data in rows and
columns, or possibly in a
more complex structure.
TBLAE

12. It is a method in which the
outcomes for an event can be
listed in an organized way to
ensure that none of the possible
outcomes is missed.
STMTYEASIC LITNSIG

14. It is a subset of a sample
space.
EENVT

16. 1.It is a special graph used to
determine the outcomes of an
experiment. It consists of
“branches” that are labeled with
either frequencies or
probabilities.
TEER DGMARIA

18. Direction: Read, analyze, and solve the problem.
Problem: A fast-food restaurant offers a special meal for P199.00
that includes a drink, a sandwich, and a dessert.
The choices are:
Drink: Soda, Fruit Juice, Coffee
Sandwich: Grilled Chicken, Ham & Cheese, Fish Fillet
Dessert: Chocolate Chip Cookie, Banana Muffin
How many possible meal combinations can be ordered?

20. The FCP states that if there are n(A)
outcomes in event A and n(B) outcomes in
event B, then there are n(A) x n(B) outcomes
in event A and event B combined.

21. The FCP originated in India at around 850
AD.
The mathematician Mahavira thought of the
ideas in 850 AD.

22. Bob has 9 different shirts and eight different pair
of pants. How many different OOTDs can he
come up with using one shirt and one pair of
pants?

23. You are taking a math quiz that has 6 True or
False questions. If you answer each question and
leave none of them blank, in how many ways can
you answer the whole test?

24. A certain online store that sells essential goods
wants to use a unique code for each product. The
code consists of two numbers and three letters.
What is the maximum number of codes that can be
used?

25. Four different books of Filipino, Math, English,
and Science are to be arranged on a shelf. How
many arrangements are possible?

27. In how many ways can you arrange 5 flowers in a
row?

28. A couple is planning to have 4 kids. How many
possible ways can they get their desired gender?

29. A bag company manufactures ladies’ bags in 8
styles, 6 colors, and 3 sizes. How many bags are
available?

30. SEATWORK

31. Direction: Read, analyze, and answer each question using the Fundamental
Counting Principle. Show your complete solution in your notebook.
1. A restaurant offers four sizes of pizza, two types of crust, and eight
toppings. How many possible combinations of pizza with one topping are
there?
2. Ron has 4 shirts, 3 pairs of pants, and 2 pairs of shoes that all coordinate.
How many outfits can you put together?
3. PA license plates have 3 letters followed by 4 numbers.
a. If the same letter or number can be repeated, how many can be made?
b. If the same letter CANNOT be repeated, how many can be made?

32. Direction: Reflect on what has transpired in today’s discussion and
answer each question.
1. What seemed to be the most important thing in today’s
lesson?
2. What learning strategies did you use today and how effective
are they?
3. What challenges did you encounter? How did you respond?