THIRD PERIODIC EXAMINATION MATHEMATICS 10 SY 2023 - 2024

Which of the following situations or activities involve permutation?

• Choosing two different books to read

• Determining top 5 winners in a contest

• Forming a committee from a group of 8 students

• Selecting 3 classmates to attend a party.

In how many ways can three identical Mathematics magazines, two identical Statistics magazines, and four identical Science magazines be put in a stack?

• 362,880

• 40,320

• 1,728

• 1,260

In the figure, how many elements does Q have?

• A. 11

• B. 13

• C. 14

• D. 15

What does P(A∪B) represent?

• A. Probability of event A

• B. Probability of event B

• C. Probability of both events A and B occurring

• D. Probability of either event A or event B or both occurring

When two events are mutually exclusive, it means that

• A. there is an intersection between the two events.

• B. the probability of one event depends on the probability of the other.

• C. the two events cannot occur at the same time.

• D. the two events are equally likely.

In a standard deck of 52 playing cards, you draw one card. What is the probability of drawing a black card?

• A. ½

• B. 1/4

• C. 3/4

• D. 2/3

What do you call the different arrangements of the objects of a group in which order is important?

• A. combination

• B. differentiation

• C. integration

• D. permutation

In how many ways can 5 students arrange themselves in a row for picture taking?

• A. 120

• B. 20

• C. 5

• D. 1

Which formula represents combinations, where n is the total number of items and k is the number of items to be chosen?

• A. n!/(n-k)!

• B. n!/k!(n-k)!

• C. n!/k!

• D. n!/(n-k)!

Which formula represents the probability of the union of two events A and B?

• A. P(A ∩ B) = P(A) + P(B)

• B. P(A ∪ B) = P(A) × P(B)

• C. P(A ∪ B) = P(A) + P(B) − P(A ∩ B)

• D. P(A ∩ B) = P(A ∪ B)