Combination Probability

How many ways can 6 players be chosen to start a volleyball game from a team of 10?

• 151,200

• 210

• 150,020

• 120

A class consists of 10 boys and 15 girls . How many committees of five can be selected if each committee is to consist of two boys and three girls?

• 20,475

• 32,480

• 33,457

• 24,075

Your history teacher randomly chooses 2 out of 18 students to give an impromptu debate on freedom of press in the high school news paper.  What is the probability that both you and your best friend are chosen to give the debate?  

• 1/153

• 1/306

• 2/153

• 40/51

What is the probability that the committee is made up of 3 women and 1 man?

• 2/91

• 1/20

• 3/16

• 36/91

Simplify the expression 9C6

• 84

• 54

• 24

• 124

There are nine golf balls numbered 1 to 9 in a bag. Three balls are randomly selected without replacement to forma 3 digit number. How many 3-digit numbers can be formed?

• 9

• 84

• 504

• 729

There are eleven seniors and five juniors who are sprinters on the high school track team. The coach must select four sprinters to run the 800 meter relay race. What is the probability that two seniors and two juniors will be chosen for the relay team?

• 0.069

• 0.050

• 0.036

• 0.302

There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?

• 5/7

• 1/7

• 2/7

• 1

There are 10 students in a class: 5 boys and 5 girls.

If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?

• 1/12

• 1/2

• 1

• 1/5

What is the probability of choosing 2 female senators if there are 19 female senators out of 100?

• 342

• 1/342

• 171

• 1/171