Have an account?
Skip to Content
Build your own quiz
32 questions
Show Answers
See Preview
- 1. Multiple Choice
Which of the following situations or activities involve permutation?
matching shirts and pants
forming different triangles out of 5 points on a plane, no three of which are collinear
assigning telephone numbers to subscribers
forming a committee from the members of a club
- 2. Multiple Choice
Two different arrangements of objects where some of them are identical are called __________.
distinguishable permutations
unique combinations
circular permutations
circular combinations
- 3. Multiple Choice
The product of a positive integer n and all the positive integers less than it is _____.
powers of n
multiples of n
n - factors
n factorial
- 4. Multiple Choice
How many different 4-digit even numbers can be formed from the digits1, 3, 5, 6, 8, and 9 if no repetition
of digits is allowed?
1 680
840
420
120
- 5. Multiple Choice
In how many ways can 8 people be seated around a circular table if two of them insist on sitting beside
each other?
360
720
1440
5040
- 6. Multiple Choice
Determine the number of distinguishable permutations of the letters of the word PASS.
4
12
36
44
- 7. Multiple Choice
What is P(8, 5)?
56
336
1400
6720
- 8. Multiple Choice
If P(n, 4) = 5040, then n = ____.
12
10
9
8
- 9. Multiple Choice
Given x = P(n, n) and y = P(n, n – 1), what can be concluded about x and y?
x > y
x < y
x = y
x = – y
- 10. Multiple Choice
Choosing a subset of a set is an example of ___.
combination
differentiation
integration
permutation
- 11. Multiple Choice
Which of the following situations illustrates combination?
Arranging books in a shelf
Drawing names from a box containing 200 names
Forming different numbers from 5 given digits
Forming plate numbers of vehicles
- 12. Multiple Choice
Which of the following situations does NOT illustrate combination?
Selecting 2 songs from 10 choices for an audition piece
Fixing the schedule of a group of students who must take exactly 8 subjects
Enumerating the subsets of a set
Identifying the lines formed by connecting some given points on a plane
- 13. Multiple Choice
If C(12, r) = 792, which of the following is a possible value of r?
4
6
7
8
- 14. Multiple Choice
C(n, n) = ____.
n
r
1
cannot be determined
- 15. Multiple Choice
If w = C(5, 2), x = C(5, 3), y = C(5, 4), and z = C(5, 5), and we are given 5 points on a plane of which no three are collinear, which expression gives the total number of polygons that can be drawn?
A. x + y
B. w + x + y
C. x + y + z
D. w + x + y + z
- 16. Multiple Choice
If w = C(5, 2), x = C(5, 3), y = C(5, 4), and z = C(5, 5), and we are given 5 points on a plane of which no three are collinear, which expression gives the total number of polygons that can be drawn?
A. x + y
B. w + x + y
C. x + y + z
D. w + x + y + z
- 17. Multiple Choice
If C(n, 4) = 126, what is n?
7
9
10
11
- 18. Multiple Choice
A caterer offers 3 kinds of soup, 7 kinds of main dish, 4 kinds of vegetable dish, and 4 kinds of dessert. In
how many possible ways can a caterer form a meal consisting of 1 soup, 2 main dishes, 1 vegetable dish,
and 2 desserts?
140
336
672
1512
- 19. Multiple Choice
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?
10 584
1764
210
84
- 20. Multiple Choice
There are 11 different food items in a buffet. A customer is asked to get a certain number of items. If the
customer has 462 possible ways as a result, which of the following did he possibly do?
Choose 4 out of the 11 items
Choose 6 out of the 11 items
Choose 8 out of the 11 items
Choose 7 out of the 11 items
- 21. Multiple Choice
Ms. Santos asked Renz to draw all the diagonals of a certain polygon on the blackboard. Renz was able to
draw 27 diagonals which his teacher declared correct. What was the given polygon?
pentagon
hexagon
nonagon
decagon
- 22. Multiple Choice
there are 10 chairs in a row. In how many ways can 5 students be seated in consecutive chairs?
720
600
252
120
- 23. Multiple Choice
Brian likes to wear colored shirts. He has 10 shirts in the closet. Three of these are blue, four are in different
shades of red, and the rest are of mixed or different colors. What is the probability that he will wear a blue
or a red shirt?
7/10 + 4/10
3/10 + 7/10
3/10 + 4/10
7/10 – 4/10
- 24. Multiple Choice
Jody has four cans of juice – one can of orange, one of pineapple, one of calamansi, and one of guyabano.
She chooses three of these cans to take to school. If she chooses calamansi, what is the probability she
also chooses pineapple?
7/8
¾
2/3
3/8
- 25. Multiple Choice
A baby has 5 blocks in a box. One block is red, one is yellow, one is green, one is blue, and one is black.
The baby pulls out a block, looks at it, and puts it back in the box. If he does this 4 times before he gets
bored and crawls away, what is the probability that the 4 blocks selected are all of the same color?
5/54
1/54
4/54
2/54
- 26. Multiple Choice
From a standard deck of cards, find the probability of picking a queen or
an even number.
4/13
6/13
6/169
5/13
- 27. Multiple Choice
A man tosses a fair coin eight times, and observes whether the toss yields a head (H) or a tail (T). Which of
the following sequences of outcomes yields a head (H) on his next toss?
(I) T T T T T T T T
(II) H H T H T T H H
I
II
Neither I nor II
Either I or II
- 28. Multiple Choice
A man tosses a fair coin eight times, and observes whether the toss yields a head (H) or a tail (T). Which of
the following sequences of outcomes yields a head (H) on his next toss?
(I) T T T T T T T T
(II) H H T H T T H H
I
II
Neither I nor II
Either I or II
- 29. Multiple Choice
Tolo rolls a six sided number cube (a dice). What is the probability that the number rolled is an even or a 5?
½
1/3
2/3
1/12
- 30. Multiple Choice
A nationwide survey revealed that 42% of the population likes eating pizza. If two people are randomly
selected from the population, what is the probability that the first person likes eating pizza while the second
one does not?
A. 0.42 + (1 − 0.42)
B. 2 (1 − 0.42)
C. 1 - 0.42
D. 0.42 (1 − 0.42)
- 31. Multiple Choice
What is the probability that a street food selected at random is fried?
68/200
35/105
50/142
68/142
- 32. Multiple Choice
What is the probability that a food selected at random is both grilled and contained harmful chemical?
40/200
58/105
16/142
16/200
- Answer choicesTagsAnswer choicesTags