Statistics Quiz

PROBABILITY
AND
STATISTICS
FINAL TERM EXAMINATION
DIRECTION
• On the following questions, solve for the correct answer and choose your answer on the
given choices. If it happens that your answer is not on the choices, just write letter E. Put
your answer with your name, year and section on a clean paper. After which, send a
picture of your answer on my messenger thru personal message. Duration of this
examination is one (1) hour only.
1. Choosing a subset of a set is an example of
______.
a. Combination
b. Differentiation
c. Integration
d. permutaion
2. Which of the following situations or activities
involve permutation?
a. Matching shirts and pants

b. Forming different triangles out of 5 points on a plane, no three of which are
collinear
c. Assigning telephone numbers to subscribers
d. Forming a committee from the members of a club
3. The product of a positive integer n and all the
positive integers less than it is called _____.
a. Powers of n
b. Multiples of n
c. n – factors
d. n factorial
4. Two different arrangements of objects where
some of them are identical are called ________.
a. Distinguishable permutations
b. Unique combinations
c. Circular permutations
d. Circular combinations
5. How many different 4-digit even numbers can be
formed from the digits 1, 3, 5, 6, 8 and 9 if no
repetition of digits is allowed.
a. 1 680
b. 840
c. 420
d. 120
6. In how many ways can 8 people be seated
around a circular table if two of them insist on sitting
beside each other?
a. 360
b. 720
c. 1 440
d. 5 040
7. Find the number of distinguishable permutations
of the letters of the word PASS.
a. 4
b. 12
c. 36
d. 144
8. 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?
a. pentagon
b. hexagon
c. nonagon
d. decagon
9. Ms. De Leon wants to produce different sets of test questions
for her essay test. If she plans to do this by putting together 3 out
of 5 questions she prepared, how many different sets of questions
could she construct?
a. 10
b. 20
c. 60
d. 80
10. If P(9,r) = 3024, what is r?
a. 2
b. 4
c. 5
d. 6
11. In a town fiesta singing competition with 12
contestants, in how many ways can the organizer
arrange the first three singers?
a. 132
b. 990
c. 1320
d. 1716
12. What is P(8,5)?
a. 56
b. 336
c. 1400
d. 6720
13. If P(n,4) = 5040, then n = ___.
a. 12
b. 10
c. 9
d. 8
14. Given x = P(n,n) and y = P(n,n-1), what can be
concluded about x and y?
a. x > y
b. x < y
c. x=y
d. x = -y
15. Find the number of distinguishable permutations
of the letters of the word EDUCATED.
a. 1 680
b. 10 080
c. 20 160
d. 40 320
16. If a combination lock must contain 5 different
digits, in how many ways can a code be formed
from the digits 0 to 9?
a. 15 120
b. 30 240
c. 151 200
d. 1 000 000
17. In how many ways can 4 men and 3 women
arrange themselves in a row for picture taking if the
men and women must stand in alternate positions?
a. 5 040
b. 720
c. 144
d. 30
18. In a room, there are 10 chairs in a row. In how
many ways can 5 students be seated in consecutive
chairs?
a. 720
b. 600
c. 252
d. 120
19. Which of the following situations does NOT
illustrate combination?
a. Selecting 2 songs from 10 choices for an audition piece

b. Fixing the schedule of a group of students who must take exactly 8 subjects
c. Enumerating the subsets of a set
d. Identifying the lines formed by connecting some given points on a plane
20. 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
21. C(n,n) = ___.
a. n
b. r
c. 1
d. Cannot be determined
22. If C(n,r) = 35, which of the following are possible
values of n and r?
a. n = 6, r = 4
b. n = 7, r = 3
c. n = 8, r = 3
d. n = 9, r = 2
23. If C(n,4) = 126, what is n?
a. 8
b. 7
c. 6
d. 4
24. If C(12,r) = 792, which of the following is a
possible value of r?
a. 8
b. 7
c. 6
d. 4
25. 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?
a. 140
b. 336
c. 672
d. 1512
26. 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?
a. 10 584
b. 1 764
c. 210
d. 84
27. Jane wants to solve a system of equations through elimination by
combining any two equations. The number of equations she has is equal
to the number of variables. She realizes that she has 10 possible ways
to start her solution. How many equations does she have?
a. 6
b. 5
c. 4
d. 3
28. 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?
a. Choose 4 out of 11 items

b. Choose 6 out of 11 items
c. Choose 7 out of 11 items
d. Choose 8 out of 11 items
29. In how many ways can you arrange 2 letters
from the word SQUARE?
a. 6
b. 12
c. 18
d. 30
30. How many possible 5-digit (numerical)
passwords are possible for the school email system
if the first digit cannot be zero?
a. 100 000
b. 90 000
c. 10 000
d. 9 000

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PROBABILITY

a. Matching shirts and pants

a. Selecting 2 songs from 10 choices for an audition piece

a. Choose 4 out of 11 items

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