Page 43 - PORTFOLIO FOR DIPLOMA IN PROFESSIONAL EDUCATION

B. 45 people are going to run a race. The top three rumors earn gold, silver, and bronze
medals.
C. The student body of 10 students wants to elect a president, vice-president, secretary
and treasurer
D. There are 15 applicants for four jobs: computer programmer, software tester,
manager, and systems engineer.

4. Which of the following statement is combination?
A. The different ways to elect a chairman and co-chairman of a committee from 10
people.
B. There are 9 people enter a swim contest. Top three swimmers can win gold, silver,
and bronze medals.
C. A coach must choose to line up five starters from a team of 12 players. Choose
different ways to choose the starter.
D. John bought a machine to make fresh juice. He has five different fruits:
strawberries, oranges, apples, pineapples and lemons. He uses two fruits. The
number of different kind of juice drinks made.

5. Choose the statement that illustrates combination.
A. The number of handshakes the 110 people at a meeting.
B. 145 people are going to join the triathlon. The top three earn gold, silver, and bronze
medals.
C. The statement body of 10 students wants to elect a president, vice president,
secretary and treasurer.
D. You are setting the combination on a three-digit lock. You want to use the numbers
1 2 3 but don’t care what order they are in.

6. What is the correct representation in finding the number of combinations in the following
problem? “How many ways can you select a committee of 4 students out of 10
students?”
A. B. C. D.

7. What is the correct solution in solving the problem in number 9?
A. C.

B. D.

8. In how many ways can the judges in the Binibining Pilipinas Pageant choose the
Philippine representatives to the Miss Universe and Miss World beauty contests
from among 5 finalists?
A. 5 B. 10 C. 20 D. 25

9. In how many ways can the first, second and third places be chosen from a group of 10
contestants?
A. 27 B. 30 C. 720 D. 1000

10. How many straight lines can be drawn, given five points, no three of which are
collinear?
A. 5 B. 10 C. 15 D. 20

IV. Solve the following problems.
Problem Solving Rubrics:

27