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1. Choosing a subset of a set is an example of ___.

A. combination B. differentiation C. integration D. permutation

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 ____.

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 C. circular permutations

B. unique combinations 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. 1440 D. 5040

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 C. nonagon

B. hexagon D. decagon

9. Ms. De Leon wants to produce different sets of test questions for her essay

test. If she plans to du 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

9

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. 1680 B. 10 080 C. 20 160 D. 40 320