PERMUTATION AND COMBINATION

A team of 18 softball players needs to

choose three players to refill the water cooler.

• 816

• 800

• 4896

• 4000

Tags

CCSS.HSS.CP.B.9

A class of 30 students wants to

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

• 657,700

• 657,720

• 27,405

• 27,000

Tags

CCSS.HSS.CP.B.9

There are 100 people at a meeting. They each shake

hands with everyone else. How many handshakes were there?

• 4,950

• 4,000

• 9,900

• 9,000

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

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

• 3003

• 3000

• 2920

• 4325

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

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

• 4050

• 3205

• 5040

• 6040

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9