Combination Probability

If a committee of 4 people is to be formed from a group of 10, how many different committees can be formed?

• 120

• 210

• 45

• 15

If there are 12 players on a basketball team, how many ways can the coach choose a starting lineup of 5 players?

• 60

• 792

• 120

• 24

A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a blue ball?

• 2/7

• 1/5

• 3/10

• 4/9

A team of 18 softball players needs to

choose three players to refill the water cooler.

• 816

• 800

• 4896

• 4000

A class of 30 students wants to

elect a president, vice president, secretary, and treasurer.

• 657,700

• 657,720

• 27,405

• 27,000

How many 10 person committees can be chosen from a group of 15 people?

• 3003

• 3000

• 2920

• 4325

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

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange?

• 9/16

• 3/4

• 9/144

• 5/16

Jacob's piggy bank has 18 quarters, 20 dimes, 24 nickels, and 43 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel?

• 9/52

• 4/91

• 44/105

• 11/26

Sonia has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips in her purse. What is the probability that she will randomly select one yellow hair clip and one blue hair clip without replacement?