kaidah pencacahan dan peluang

Multiple Choice

How many ways can Toni pair his shirts and pants, given he has 3 shirts and 2 pants?

• 5

• 6

• 3

• 2

Multiple Choice

Which of the following scenarios best illustrates the use of the addition rule in counting?

• Choosing a route from city A to city C via city B

• Selecting a song from three different genres

• Pairing shirts, pants, and shoes

• Arranging books on a shelf

Multiple Select

Select all scenarios where the multiplication rule should be applied.

• Pairing shirts, pants, and shoes

• Choosing one vehicle from several types

• Selecting a song from different genres

• Finding routes from city A to city C via city B

Fill in the Blank

Fathiya has 4 cars, 3 motorcycles, and 2 bicycles. She wants to choose one vehicle to go to work. The total number of ways she can choose is ___

Multiple Choice

A plane can travel from Singapore to Bali either directly (2 routes) or via Jakarta (3 routes from Singapore to Jakarta, then 4 routes from Jakarta to Bali). How many total flight options are there from Singapore to Bali?

• 5

• 9

• 14

• 12

Multiple Choice

If a person travels from city K to city L using the routes shown in the diagram, how many alternative paths can they choose?

• 12

• 16

• 20

• 24

Multiple Choice

How many different routes can a plane take from Singapore to Bali, either via Jakarta or directly?

• 12

• 14

• 6

• 8

Open Ended

Explain the multiplication principle for filling slots and provide an example from daily life where this principle can be applied.

Multiple Choice

From 8 OSIS members, 4 are chosen as a management team for the positions of leader, vice leader, secretary, and treasurer. How many possible arrangements of the management team are there?

• 1680

• 336

• 70

• 24

Multiple Choice

From the digits 1, 2, 3, 4, 5, and 6, how many 3-digit numbers can be formed if the digits cannot be repeated?

• 216

• 120

• 60

• 80

Multiple Choice

Zaki wants to create an email password consisting of his name (ZAKI) and four different digits. The name can be at the beginning or end. How many possible passwords can Zaki make?

• 5040

• 10000

• 720

• 1680

Open Ended

Explain why the number of ways to arrange 4 different digits from 0 to 9 is calculated as 10 × 9 × 8 × 7.

Multiple Choice

How many possible email passwords can Zaki create if he uses either the first or last four letters of his name followed by four different digits?

• 5,040

• 10,080

• 8,000

• 2,520

Fill in the Blank

The value of 0! is ___.

Multiple Choice

Which of the following statements about factorial is correct?

• n! is the sum of all positive integers up to n.

• n! is the product of all positive integers up to n.

• n! is always equal to n.

• n! is only defined for even numbers.