Combinations and Probability

Find the number of combinations of the following school supplies

book, pencil, glue, ruler, eraser, folder, marker, scissors, crayon taken three at a time.

• 15

• 84

• 48

• 35

Find the number of combinations of the following symbols α, β, γ, ω, η, θ, μ, λ taken four at a time.

• 70

• 60

• 50

• 40

Evaluate

₁₄ C ₁₂

• 91

• 64

• 164

• Cannot determine

Evaluate

₃₀ C ₂₈ - ₁₆ C ₁₃

• -125

• 152

• 125

• -152

Solve using combinations.

How many 5 person committees can be chosen from a group of nine people?

• 126

• 167

• 28

• 14

Solve using combinations.

There are 5 things in a hat. How many ways can you pick 3 things from the hat at once?

• 10

• 5

• 15

• 20

Solve using combinations.

How many different ways can you choose three books from a summer reading book list of 6 books?

• 5

• 10

• 15

• 20

Solve using combinations.

How many ways can you pick five students for the student council when there are twelve people running?

• 792

• 892

• 992

• 1092

Solve using combinations

How many different ways can you invite four of your seven friends to the movies?

• 35

• 45

• 25

• 55

You are at a pizza parlor that offers four toppings: anchovies, olives, pineapples, and sausage. How many different combinations of these items can you make if you choose two toppings

• 3

• 6

• 9

• 12