Permutations and Combinations Quiz

What is the key difference between permutations and combinations?

• Neither consider order.

• Permutations consider order, combinations do not.

• Both consider order.

• Combinations consider order, permutations do not.

In the scenario where a team of basketball players chooses a captain and co-captain, what is this an example of?

• Combination

• Permutation

• Neither

• Both

When Robin and Mary decide which countries to skip, what mathematical concept does this represent?

• Both

• Combination

• Neither

• Permutation

How many different ways can Castle and Joe plan their trip to three countries out of seven?

• 5040

• 120

• 35

• 210

If 110 people shake hands with each other, how many handshakes occur?

• 110

• 5995

• 12100

• 55

What is the number of ways to arrange the numbers 1, 2, and 3 on a lock?

• 9

• 6

• 12

• 3

How many ways can 5 out of 13 students be chosen to ride in a car?

• 1287

• 2002

• 286

• 715

In a student body election for four positions, what type of mathematical concept is used?

• Combination

• Neither

• Both

• Permutation

How many ways can 7 players be selected from an 11-person team for a batting order?

• 210

• 792

• 462

• 330

In a race where the top three earn medals, what is the mathematical concept used?

• Both

• Combination

• Permutation

• Neither