PERMUTATION AND COMBINATION

Front

A team of 18 softball players needs to choose three players to refill the water cooler.

Back

816

Front

A class of 30 students wants to elect a president, vice president, secretary, and treasurer.

Back

657,720

Front

There are 100 people at a meeting. They each shake hands with everyone else. How many handshakes were there?

Back

4,950

Front

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

Back

6,435

Front

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

Back

85,140

Front

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

Back

3003

Front

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?

Back

657,720

Front

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

Back

792

Front

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

Back

5040

Front

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?

Back

59,400