Permutations & Combinations

How many three person committees can be chosen from a group of five people?

• 8

• 9

• 10

• 11

• 12

Answer explanation

5C3=5!(3!(5-3)!)

=5(4)(3!)/[3!x2!]

=5(4)/2

=10

Guasc, Diana, Louis, and Georg ran in a race. In how many different orders can they finish the race?

• 4

• 8

• 12

• 18

• 24

There are 7 gifs in a bag. How many ways can you pick 2 gifs from the bag at once?

• 20

• 21

• 22

• 23

• 24

In how many ways can William, George, Dian, Palace, Ann, and Carmen stand in line?

• 6

• 24

• 120

• 720

• 4520

Mr Perez wants to choose two students from 24 of a class. How many ways can he choose the students?

• 418

• 552

• 624

• 718

• 836

A team of 11 soccer players needs to choose a captain and co-captain. Does the scenario involve a permutation or a combination?

• Permutation

• Combination

• None

George and Claudia are planning trips to seven countries this year. There are twelve countries they would like to visit. They are deciding which countries to skip. Does the scenario involve a permutation or a combination?

• Permutation

• Combination

• None

The batting order for eight players on a 11-person team. Does the scenario involve a permutation or a combination?

• Permutations

• Combinations

• None

There are 14 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer. How many ways can the job be choosen?

• 14143

• 16562

• 18018

• 20234

• 24024

8 out of 13 students will ride in a car instead of a bus. Find the number of possibilities.

• 53441840

• 51891840

• 42891840

• 41891840

• 37641840