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 Sto. Nino 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

56

Answer

18

Answer

12

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

Forming committee of officers

Answer

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

Question 4

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

Accepted Answer

17,305

Answer

16,710

Answer

17, 900

Answer

4,655

Question 5

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

Accepted Answer

13

Answer

14

Answer

11

Answer

9

Question 6

How many ordered arrangements can be made from the letter in the word PARALLEL?

Accepted Answer

$\frac{8!}{2!3!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Question 7

In how many ways can 10- different-colored horses be positioned in a carousel?

Accepted Answer

326,880

Answer

4, 032

Answer

504

Answer

3,628,800

Question 8

In how many ways can a committee of 7 students be chosen from 9 juniors and 9 seniors if there must be 4 seniors in the committee?

Accepted Answer

10, 584

Answer

210

Answer

84

Answer

1, 764

Question 9

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

Accepted Answer

20

Answer

15

Answer

30

Answer

40

Question 10

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

Accepted Answer

20,160

Answer

504

Answer

40,320

Answer

72

Question 11

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

Accepted Answer

252

Answer

30 240

Answer

50

Answer

3,240

Question 12

A committee of four members will be formed from fifteen teachers during the Brigada Eskwela. What is the correct solution to determine how many possible committees can be formed?

Accepted Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{2!3!}$

Answer

$\frac{8!}{2!3!}$

Answer

$\frac{8!}{6!}$

Question 13

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

642

Answer

684

Question 14

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

Circular permutation

Answer

Combination

Answer

Linear permutation

Question 15

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

Accepted Answer

252

Answer

152

Answer

424

Answer

324

Question 16

Which of the following situations or activities involve permutation?

Accepted Answer

Assigning telephone numbers to subscribers

Answer

Forming a committee from the members of a Rotary club

Answer

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

Answer

Matching shirts and pants

Question 17

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

Accepted Answer

144

Answer

316

Answer

7

Answer

12

Question 18

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

Accepted Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Question 19

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

P(15,3) • C(7,4)

Answer

C(15,3) + C12,4)

Question 20

Find the number of diagonals in a Hexagon.

Accepted Answer

9

Answer

30

Answer

15

Answer

20

Question 21

Refer to the Venn diagram below. Which statement defines the shaded region?

Accepted Answer

(𝐴 ∪ 𝐵)′

Answer

(𝐴 ∩ 𝐵)′

Answer

(𝐴 ∩ 𝐵)

Answer

(𝐴 ∪ 𝐵)

Question 22

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 “and.”

Accepted Answer

Intersection of events

Answer

Union of events

Answer

Complement of events

Answer

None

Question 23

A group of G10 students asked some of their schoolmates about their choice/s for academic track in senior high school. The Venn diagram below shows the result of their survey. How many wants HUMMS or ABM?

Accepted Answer

49 students

Answer

18 students

Answer

10 students

Answer

Probability

Question 24

Some Grade 6 students from two barrio schools were classified according to readers and non-readers. The results are shown below. How many non-readers are males?

Accepted Answer

60

Answer

27

Answer

33

Answer

86

Question 25

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= {15 SHS students, 12 JHS students}

Answer

S= {18 college students, 15 SHS students}

Answer

S= {12 JHS students, 18 college students}

Question 26

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

Mutually and not mutually exclusive

Answer

None of these

Answer

Not mutually exclusive

Question 27

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

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Question 28

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

Accepted Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Question 29

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

0.7

Answer

0.4

Question 30

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

0.49

Answer

0.17

Answer

0.15

Question 31

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 C.

Answer

None of these

Answer

Non Mutually exclusive C.

Answer

Mutually and Non mutually exclusive

Question 32

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 a relationship C.

Answer

have commonalities

Question 33

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

0.78

Answer

0.68

Answer

0.70

Question 34

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

Accepted Answer

0.423

Answer

0.789

Answer

0.543

Answer

0.365

Question 35

These are events that cannot occur at the same time.

Accepted Answer

Mutually Exclusive Event

Answer

Sample Space

Answer

Compound Event

Answer

Simple Even

Question 36

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

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Question 37

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?

A. 5/20 B. 3/4 C. 7/20 D. 1/4

Accepted Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Question 38

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

Accepted Answer

36

Answer

12

Answer

60

Answer

24

Question 39

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

Accepted Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Question 40

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

Accepted Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Answer

$\frac{8!}{6!}$

Related quizzes

Related quizzes