Question 1

Which mathematical technique determines the number of possible arrangements in a set where the order of the arrangements matters?

Accepted Answer

permutation

Answer

event

Answer

sample space

Answer

combination

Question 2

Which of the following situations does not illustrate permutation?

Accepted Answer

choosing 3 desserts from a menu of 10

Answer

arranging 10 students in a line

Answer

choosing winners: 1^st place, second place and 3^rd place from a pool of contestants

Answer

forming a 2-digit number with the digits 1 –9

Question 3

Anastasia needs to arrange 7attendees in a circular table for wedding reception seat plan. How many arrangements can she make?

Accepted Answer

720

Answer

120

Answer

5 040

Answer

6 120

Question 4

How many distinguishable permutations can be made from the letters of the word ‘’FOOTBALL”?

Accepted Answer

10 080

Answer

40 320

Answer

20 160

Answer

5040

Question 5

Which of the following situations illustrates combination?

Accepted Answer

forming a committee from the members of a club

Answer

determining the top three winners of Math Quiz Bee

Answer

assigning cellphone numbers to subscribers

Answer

arranging plants in a row

Question 6

Choosing a subset of a set is an example of ________.

Accepted Answer

Combination

Answer

Probability

Answer

Permutation

Answer

Circular Permutation

Question 7

What is the main difference between a permutation and a combination?

Accepted Answer

A permutation has a specific order, and a combination does not.

Answer

A combination does not have a specific order, a permutation does.

Answer

A combination involves repeats and a combination does not.

Answer

A permutation involves repeats and a combination does not.

Question 8

Find the value of P(5,3)+ C(5,2).

Accepted Answer

70

Answer

160

Answer

10

Answer

60

Question 9

Anthony is on a 7-day vacation. He plans to spend one day jet skiing and one day golfing. How many ways can John schedule these 2 activities?

Accepted Answer

42

Answer

14

Answer

7

Answer

13

Question 10

Members of 6 different school organizations decorated booths for the club day. How many different ways can first, second, and third prize be awarded?

Accepted Answer

120

Answer

36

Answer

18

Answer

136

Question 11

The diagram shows the number of senior high school boys who play football or wrestling. How many senior high boys play football and wrestling?

Accepted Answer

9

Answer

18

Answer

39

Answer

12

Question 12

Which of the following is the formula to find the probability of a union of two events?

Accepted Answer

P( A U B) = P(A) + P(B) – P(A ∩ B)

Answer

P( A U B) = P(A)+ P(B) – P(A U B)

Answer

P( A U B) = P(A)- P(B) + P(A U B)

Answer

P( A U B) = P(A) - P(B) + P(A ∩ B)

Question 13

Why is P(A ∩ B) subtracted in the rule of finding the probability of a union of two events, P( A U B) = P(A) + P(B) – P(A ∩ B)?

Accepted Answer

P(A ∩ B) has been counted twice through P(A) and P(B).

Answer

There is no explanation other than it’s just a part of the rule.

Answer

Either A or C

Answer

This rule determines the probability of event A or B occurring, not A and B, so this factor is subtracted

Question 14

From a deck of 52 cards, what is the probability of drawing a diamond card or a seven?

Accepted Answer

$\frac{17}{52}$

Answer

$\frac{17}{52}$

Answer

$\frac{17}{52}$

Answer

$\frac{17}{52}$

Question 15

What is P(AUB) if P(A) = 0.25, P(B) =0.50 and P(A∩B) = 0.14?

Accepted Answer

0.61

Answer

0.51

Answer

0.25

Answer

0.39

Question 16

In the Animal Rescue Shelter of the Marikina Veterinary Office, 32% of the current inhabitants are cats and 49% are dogs. What is the probability that an animal chosen at random is either a cat or a dog.

Accepted Answer

0.81

Answer

0.32

Answer

0.17

Answer

0.49

Question 17

One card is selected from a standard deck of 52 playing cards. What is the probability that the card is either a diamond or an ace?

Accepted Answer

0.33

Answer

0.5

Answer

0.375

Answer

0.769

Question 18

A box is filled with 3 red cards, 2 green cards, and 9 yellow cards. A card is chosen at random from the box. What is the probability that it is a red or a yellow card?

Accepted Answer

$\frac{17}{52}$

Answer

$\frac{17}{52}$

Answer

$\frac{17}{52}$

Answer

$\frac{17}{52}$

Question 19

Which of the following events do not occur at the same time?

Accepted Answer

Mutually Exclusive Event

Answer

Experiment

Answer

Sample Event

Answer

Probability

Question 20

When tossing a coin, the events of getting a head and a tail are examples of _____________.

Accepted Answer

mutually exclusive

Answer

sample space

Answer

simple event

Answer

not mutually exclusive

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