Permutations and Combinations

Determine whether the question would be a permutation or combination: Five students from 90 will be selected to count ballots for the Class President election. How many groups of 5 students could be selected to count ballots?

• Permutation

• Combination

• Neither

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination
• permutation
• neither

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination
• Permutation

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination
• permutation
• neither

Which of the following is an example of combination?

• Form a passcode with 4 digits
• Students line up in a queue to assembly
• Choose 4 students in a class committee
• Choose the chairperson, secretary and treasurer in a club

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

• 720
• 120
• 10!

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

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

• 272
• 4080
• 680

If Lucas owns 11 hoodies,how many ways can he choose four to bring on vacation?

• 44
• 7920
• 330
• 121