Permutation & Combination

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

• 3

• 6

• 1

Tags

CCSS.HSS.CP.B.9

Prgya is stringing 3 different types of beads on a bracelet. How many ways can she string the next three beads if they must include one bead of each type?

• 1

• 3

• 6

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

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

• 32 760

• 60

• 1 365

Tags

CCSS.HSS.CP.B.9

Four students need to be selected from a class of 15 to help clean up the campus. How many different ways can the 4 students be chosen, if the only two girls refuse to help?

• 715

• 1 365

• 120

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

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

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

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84
• 504
• 9!
• 3!

Tags

CCSS.HSS.CP.B.9

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

• 1
• 30
• 5!
• 6!

Tags

CCSS.HSS.CP.B.9