Permutation, Combination, Independent, and Dependent

I want to arrange 5 boys and 5 girls together such that the same gender are together. The number of ways = 

• 2!*5!*5!

• 2!

• 10!

• 10!-(5!*5!)

The word "selection" usually refers to

• Combination

• Permutation

• Probability

• Counting

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

A committee of 7 people is to be chosen from 10 men and 12 women. How many committees can be formed if the committee is composed of 3 men and 4 women?

• 59,400

• 58,900

• 55,650

• 49,800

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

• 362,880

• 360,000

• 352,880

• 332,800

A team of 18 softball players needs to

choose three players to refill the water cooler.

• 816

• 800

• 4896

• 4000

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

There are twelve players on the basketball team. How many ways can a starting lineup of the five best players be chosen?

• 982

• 800

• 792

• 95000

Eight people are going to sit at a round table. How many different ways can this be done?

• 4050

• 3205

• 5040

• 6040