Question 1

How many 4-digit numbers can be formed using 1, 3, 5, 6, 8 & 9 if NO repetition is allowed?

Accepted Answer

360

Answer

720

Answer

120

Answer

24

Question 2

The Ice Cream House in Nangka Marikina City offers the following choices below for their snacks. Suppose you choose a pizza and a drink. How many possible choices are there?

Pizza: Cheese, Hawaii, Bacon, Pepperoni

Beverage: Water

Juice– Pineapple, Orange, and Mango

Milk Tea– Winter Melon, Mocha, Okinawa, and Taro

Accepted Answer

32

Answer

12

Answer

56

Answer

18

Question 3

Which situation illustrates PERMUTATION?

Accepted Answer

Assigning rooms to conference participants

Answer

Choosing 3 novel from books to buy from a variety store

Answer

Selecting 5 questions to answer out of 10 questions in a test.

Answer

Forming committee of officers

Question 4

Find C( 25,4) + C ( 30, 3) + C ( 35, 2)

Accepted Answer

17,305

Answer

16,710

Answer

4,655

Answer

17,900

Question 5

If P(n, 4 ) = 17, 160, then n= ____.

Accepted Answer

13

Answer

9

Answer

14

Answer

11

Question 6

In how many ways can10- different-colored horses be positioned in a carousel?

Accepted Answer

326,880

Answer

4,032

Answer

3,628,800

Answer

504

Question 7

In how many ways can a committee of 7 students be chosen from 9 juniors and 9 seniors if there must be4 seniors in the committee?

Accepted Answer

10, 584

Answer

1,764

Answer

210

Answer

84

Question 8

How many different ordered arrangements can be made with 1 red bead, 3 blue beads and 1 yellow bead?

Accepted Answer

20

Answer

40

Answer

15

Answer

30

Question 9

In how many ways can 9 bead colors be arranged on a bracelet?

Accepted Answer

20,160

Answer

504

Answer

72

Answer

40,320

Question 10

In a 10-itemMathematics problem solving test, how many ways can you select 5 problems to solve?

Accepted Answer

252

Answer

50

Answer

3,240

Answer

30,240

Question 11

Arman would like to invite 12 friends to go on a trip but has room only 7 of them. In how many ways can they be chosen?

Accepted Answer

792

Answer

756

Answer

684

Answer

642

Question 12

You are asked to determine the number of arrangements you can do with the word PHILIPPINES. This can be done by using the concept of

Accepted Answer

Distinguishable permutation

Answer

Linear permutation

Answer

Combination

Answer

Circular permutation

Question 13

Evaluate: P(7,2) + C(10, 6)

Accepted Answer

252

Answer

424

Answer

152

Answer

324

Question 14

Which of the following situations or activities involve permutation?

Accepted Answer

Assigning telephone numbers to subscribers

Answer

Forming different triangles out of 7 points on a plane, no three of which are collinear

Answer

Matching shirts and pants

Answer

Forming a committee from the members of a Rotary club

Question 15

How many ways can 4balls and 3 dolls be arranged in a row alternately?

Accepted Answer

144

Answer

316

Answer

7

Answer

12

Question 16

A basket contains 4apples, 6 mangoes and 7 guavas. How many ways can 4 apples be chosen all at once?

Accepted Answer

4/17

Answer

11/17

Answer

10/17

Answer

13/17

Question 17

A committee of seven is to be chosen from a class of 15 students. The committee consists of a chairman, vice-chairman, a secretary and 4 other members. In how many ways can this committee be chosen.

Accepted Answer

C(15,7) • P(7,3)

Answer

P(15,3) • C(7,4)

Answer

C(15,3) + C12,4)

Answer

P(15,3) + C(7,4)

Question 18

Find the number of diagonals in a Hexagon.

Accepted Answer

9

Answer

20

Answer

30

Answer

15

Question 19

It is the collection of all outcomes that are common in both sets A and B. It corresponds to combining descriptions of the two events using the word “.”

Accepted Answer

Intersection of events

Answer

None

Answer

Union of events

Answer

Complement of events

Question 20

In a forum, there are 12 Junior High School students, 15 Senior High School students, and 18 college students. What is the sample space?

Accepted Answer

S= {12 JHS students, 15 SHS students, 18 college students}

Answer

S= {12 JHS students, 18 college students}

Answer

S= {18college students, 15 SHS students}

Answer

S= {15 SHS students, 12 JHS students}

Question 21

A spinner has an equal chance of landing on each of its eight numbered parts. After spinning, it lands in part three or six. Determine if the event is mutually exclusive or not mutually exclusive.

Accepted Answer

Mutually exclusive

Answer

Not mutually exclusive

Answer

None of these

Answer

Mutually and not mutually exclusive

Question 22

Two fair dice are rolled. What is the probability that the outcome on the first die is 6 or the outcome on the second die is 5?

Accepted Answer

1/3

Answer

1/36

Answer

13/36

Answer

11/36

Question 23

There are 30 students in a Statistics class and they all have at least one pencil or pen. 14 students have pencils, 19students have pens. What is the probability that a student chosen in random from the class has pencil only?

Accepted Answer

11/30

Answer

3/6

Answer

2/15

Answer

2/5

Question 24

A basket contains three apples, three peaches, and four pears. You randomly select a piece of fruit. What is the probability that it is an apple or a peach?

Accepted Answer

0.6

Answer

0.5

Answer

0.4

Answer

0.7

Question 25

Marikina Veterinary Office shelters cats and dogs. 32% of the current inhabitants are cats and 49% are dogs. What is the probability that an animal chosen in random is a dog?

Accepted Answer

0.32

Answer

0.17

Answer

0.15

Answer

0.49

Question 26

Determine if events A and B are mutually exclusive. Given P(A) = 3/10, P(B) = ½, then P(A or B) = 4/5.

Accepted Answer

Mutually exclusive

Answer

Both A and C

Answer

None of these

Answer

Not mutually exclusive

Question 27

If two events cannot occur at the same time, then the two events _______.

Accepted Answer

have no commonalities

Answer

are in a relationship

Answer

have commonalities

Answer

have a relationship

Question 28

There are 7 girls and 6 boys in the junior class homecoming committee. A subcommittee of 4 people is being chosen at random to decide the theme for the class float. What is the probability that the subcommittee will have 2 girls only?

Accepted Answer

0.44

Answer

0.68

Answer

0.78

Answer

0.70

Question 29

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

Accepted Answer

0.423

Answer

0.365

Answer

0.789

Answer

0.543

Question 30

These are events that cannot occur at the same time.

Accepted Answer

Mutually Exclusive Event

Answer

Compound Event

Answer

Sample Space

Answer

Simple Event

Question 31

A bag contains four yellow tickets which are numbered from one to four. The bag also contains five green tickets which are numbered from one to five. You randomly pick a ticket. What is probability that it is a yellow or has an odd number?

Accepted Answer

7/9

Answer

4/9

Answer

1/9

Answer

5/9

Question 32

Alfred is going to the Lakeshore Animal Shelter to pick a new pet. Today, the shelter has 8 dogs, 7 cats, and 5 rabbits available for adoption. If Alfred randomly picks an animal to adopt, what is the probability that the animal would be a cat or a dog?

Accepted Answer

3/4

Answer

5/20

Answer

1/4

Answer

7/20

Question 33

Two fair dice are rolled. How many possible outcomes are there?

Accepted Answer

36

Answer

60

Answer

12

Answer

24

Question 34

Two fair dice are rolled, find the probability of getting a sum of greater than or equal to 6.

Accepted Answer

13/18

Answer

5/18

Answer

10/36

Answer

3/36

Question 35

Juan rolled two fair dice. Find the probability that the sum is not 10.

Accepted Answer

33/36

Answer

30/36

Answer

32/36

Answer

3/36

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