Permutation, Combination, Independent, and Dependent

The Volley ball club with ten members is to choose three officers for captain, co-captain and secretary. How many ways can those offices be filled?

• 720

• 120

• 10!

Picking a team of 3 people from a group of 10 people.

• Combination

• Permutation

Picking a President, Vice-President and Treasurer from a group of 10.

• Combination

• Permutation

Choosing 3 desserts from a menu with 10 desserts.

• Combination

• Permutation

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

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

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

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