Permutation, Combination, Probability

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

A group of 15 people are going to run a race. The top 8 finishers advance to the finals.

• 6,500

• 259,459,200

• 6,435

• 259,450,222

A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

• 14,190

• 14,000

• 85,140

• 84,140

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

• 3003

• 3000

• 2920

• 4325

Rey, Jack, Alex and Mike ran in a race of 30 people. In how many different orders can they finish the race if they won 1st, 2nd, 3rd and 4th place?

• 27,405

• 657,720

• 29,724

• 658,730

How many ways can 9 persons line up in a row for a pictorial?

• 362,880

• 360,000

• 352,880

• 332,800

In how many ways the letters of the word “RUNNING” be arranged?

• 5040

• 2520

• 1260

• 840

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

• 18
• 120
• 36

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