The document outlines a lengthy math quiz focused on probability, fundamental counting principles, and permutations versus combinations. It includes various problems regarding card draws, coin tosses, and the evaluation of factorials, as well as more complex scenarios involving team selections and distinct arrangements. The quiz concludes with an answer key for verification.

1. LONG QUIZ IN MATH 8

2. NUMBER YOUR PAPERS 1 – 35 Get ½
lengthwise

3. ALL ABOUT PROBABILITY
1. It is a process that has a number of distinct possible
outcomes in which the result cannot be predicted with certainty.
2. It is the set of all possible outcomes
3. It is any possible result of the experiment.
Choices: Experiment, Outcome, Sample Space, Probability

4. WHAT IS THE PROBABILITY? (PART 1)
A card is drawn from a well – shuffled deck of cards. Find the
probabilty of drawing:
4. A King
5. An Ace of Spade
6. A Face Card
7. Not a Queen

5. WHAT IS THE PROBABILITY? (PART 2)
A coin is tossed twice. What is the probability of getting the
following?
8. Exactly two heads
9. At least one tails
10. Exactly 3 tails

6. FUNDAMENTAL COUNTING PRINCIPLES
How many possible outcomes are there?
11. Two dice are tossed.
12. Four coins are tossed.
13. You have 6 different colors of T-shirts, 5 different styles of
jeans, and 4 pairs of shoes.
14. The Science test has 5 multiple-choice questions. For every
question, there is three options.

7. FUNDAMENTAL COUNTING PRINCIPLES
(CHALLENGER)
An plate number is composed of three-letters from the English
alphabet followed by three digit number. How many plate
numbers are possible to form if:
15. The letters and digits can be repeated in the same plate
number?
16. The letters and the digit cannot be repeated in the same
plate number?
17. The letters must begin with consonant and the number must
begin with 1, 2, and 3 with repetition?

8. PERMUTATION OR COMBINATION?
Write P if the situation is permutation and C if it’s combination.
18. The order of 6 digit binary codes
19. The number of students nominated as the Seargeant at
Arms.
20. The first place, second place, and third place of the race

9. EVALUATE THE PERMUTATION AND COMBINATION
21. 10P4
22. 20C7

10. EVALUATE THE FOLLOWING FACTORIALS
23.
24.
25.

11. PERMUTATION AND COMBINATION PROBLEMS
26 – 27. In how many different teams of 11 players can be
chosen from a squad of 16?
28 – 29 How many different orders can you choose to read
six of the nine books on your summer reading list?
30 – 31 You shuffled 52 – card deck. In how many ways you
can select 4 different cards?

12. PERMUTATION AND COMBINATION PROBLEMS
(HARD)
32 – 33 How many distinct permutations can you form from
the word “MATHEMATICS?”
34 -35 The committee consists of 8 managers, 6 accountants,
and 5 bookkeepers. Find the number of ways if the CEO will
choose 4 managers, 3 accountants, and 2 bookkeepers.

13. PASS YOUR PAPERS IN FRONT!

14. EXXHANGE YOUR COLLECTED PAPERS TO THE
OTHER COLUMNS

15. 1. Experiment 13. 120 25. 8
2. Sample Space 14. 243 26 – 27. 4368
3. Outcome 15. 17 576 000 28 – 29. 60 480
4. 1/13 16. 11 232 000 30 – 31. 270 725
5. 1/52 17. 4 258 800 32 – 33. 4 989 600
6. 3/13 18. P 34 - 35. 14 000
7. 12/13 19. C
8. ¼ 20. P
9. ¾ 21. 5040
10. 0 22. 77 520
11. 36 23. 12 096
12. 16 24. 80 640
ANSWER KEYS

16. RETURN THE PAPER TO THE OWNER