Page 42 - PORTFOLIO FOR DIPLOMA IN PROFESSIONAL EDUCATION

MATHEMATICS 10 SUMMATIVE ASSESSMENT 3.1

Directions: Read each item carefully and solve. Write your answers on a separate sheet of
paper.

I. In each situation below, list down and determine the number of possible arrangements:
1. Arrange the letters of the word LEA.

2. Form a 3 – digit cellphone code out of the numbers 2, 4, 6, 8

II. Match the situation in column A with its correct representation of formula in column B.
A B
1. In how many ways can 11 different A. (11,3) = (11−3)!
books be arranged on a shelf? 11!
B. (11,11) = 11!
2. In how many ways can 11 people be
seated at a round table? C. = (11 − 1)!

8!
3. In how many ways can the letters of D. =
2!3!
the word PARALLEL can be arranged?
E. C (12, 5)
4. How many different committees of 3
people can be chosen to work on the F. C (9, 3)
JS Prom from a group of 9 people?
G. P (10, 3)

5. In a school Intramurals, a coach must
choose his first five players from a
team of 12 players. How many
different ways can he choose?

6. The Bikers Club with 10 members is
to choose three officers, captain, co-
captain and secretary. How many
ways can those positions be filled?

III. Read each item carefully and solve. Choose the letter of the correct answer.

1. Which of the following statements illustrate combination?
A. Choose 3 toppings for a pizza if there are 9 choices.
B. Creating an access code for a computer using any 8 alphabet letters.
C. Different ways to arrange a line-up for shooters on a basketball team.
D. Determine the number of ways you can elect a chairman and co-chairman.

2. Which of the following scenario involves combination?
A. The setting of combination on a three-digit lock.
B. The batting order for seven players on a 12 person team.
C. There are 45 applicants for three computer technician position.
D. A team of 8 basketball players needs to choose a captain and co-captain.

3. Which statement illustrates combination?
A. 5 out of 13 students will ride in a car instead of a van.

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