Quiz on Combinatorial Problems

In a celebration, Mr. Rudi will enjoy a dish. On the dining table, there are 5 types of soto with different flavors, 7 types of bakso that are also different, 6 types of gado-gado with all kinds of variations, and 4 types of sate that are different as well. How many ways can Mr. Rudi enjoy a dish?

• 22

• 18

• 12

• 10

• 6

On a journey home from school, Mr. Budi stopped at a restaurant for lunch. In that restaurant, there are several menus served. Among them, there are 4 types of fried chicken: geprek chicken, laos chicken, kecap chicken, and balado chicken, 3 types of rice: uduk rice, yellow rice, and plain rice. Meanwhile, the available drinks consist of 5 types of juice: mango juice, melon juice, orange juice, carrot juice, and strawberry juice. If Mr. Budi will order every type of food, how many pairs of rice, chicken, and juice can be made?

• 3

• 4

• 5

• 12

• 60

Andika wants to make a phone call. If there are 5 telephones and 6 extension numbers, how many different ways can the conversation be made?

• 5

• 6

• 11

• 30

• 40

Diani enters a meeting room that has 6 doors. If she cannot pass through the same door when coming and going, how many ways can Diani choose to enter and exit the building?

• 5

• 6

• 30

• 36

• 42

How many three-digit multiples of 5 can be formed using the digits 1, 2, 3, 4, 5, and 6 without repeating any digits?

• 5

• 12

• 20

• 24

• 30

How many hundreds can be formed using the digits 1, 2, 3, 4, and 5 without repeating any digits?

• 5

• 20

• 60

• 100

• 125