Combinations Review

How many ways can you choose 2 students from a group of 5 to form a committee?

• 5

• 10

• 15

• 20

What is the value of $\binom{6}{3}$?

• 6

• 10

• 20

• 120

In how many ways can a hand of 5 cards be dealt from a standard deck of 52 cards?

• 2,598,960

• 311,875,200

• 120

• 5

A pizza shop offers 4 different toppings. How many different pizzas can be made with exactly 2 toppings?

• 4

• 6

• 8

• 12

What is the formula for the number of combinations of n objects taken r at a time, denoted by nCr?

• n!/(n-r)!}

• r!/(n-r)!

• n!/r!(n-r)!

• n^r

From a group of 7 people, how many different teams of 4 people can be formed?

• 35

• 840

• 210

• 28

How many ways can you select 3 different flavors of ice cream from a choice of 8 available flavors?

• 24

• 56

• 336

• 512

What is the value of $\binom{n}{n}$?

• 0

• 1

• $n$

• $n!$

A bag contains 6 red marbles and 4 blue marbles. How many ways can you choose 2 blue marbles from the bag?

• 6

• 15

• 24

• 45

In how many ways can a committee of 3 men and 2 women be chosen from a group of 5 men and 4 women?

• 10

• 20

• 40

• 60