Permutation and Combination

A Mathmatics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

• 5

• 10

• 15

Tags

CCSS.HSS.CP.B.9

Benedic wants to order a sandwich with two of the following ingredients: mushroom, eggplant, tomato, and avocado. How many different sandwiches can Benedic choose?

• 8

• 6

• 4

Tags

CCSS.HSS.CP.B.9

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

• 336

• 56

• 24

Tags

CCSS.HSS.CP.B.9

A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 starting players if the captain MUST play the first half?

• 792

• 495

• 330

When ordering a pizza, you can choose 2 toppings from the following: mushrooms, olives, pepperoni, pineapple, and sausage. How many different types of pizza can you order?

• 10

• 20

• 30

Nine students in a Mathematics contest are competing for first, second and third prize. How many ways can the 3 students be chosen?

• 27

• 84

• 504

You are ordering a triple-scoop ice-cream cone. There are 18 flavours to choose from and you don’t care which flavor is on the top, middle, or bottom. How many different ways can you select a triple-scoop ice-cream cone?

• 54

• 816

• 4896

Tags

CCSS.HSS.CP.B.9

An art gallery has 12 paintings in storage. They have room to display 4 of them, with each painting in a different room. How many possible ways can they display the 4 additional paintings.

• 11 880

• 495

• 48

Which of the following is an example of combination?

• Form a passcode with 4 digits
• Students line up in a queue to assembly
• Choose 4 students in a class committee
• Choose the chairperson, secretary and treasurer in a club

Tags

CCSS.HSS.CP.B.9

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9