Determining Permutation and Combinations

These are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.

• Permutation

• Combination

• Fundamental Counting Principle

It is an arrangement of objects in a definite order. (Arrangement matters)

• Permutation

• Combination

• Fundamental Counting Principle

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 visit first.

• Combination

• Permutation

• Neither

A team of 8 basketball players need to choose a co-captain and captain.

• Combination

• Permutation

• None

Which of the following would you use to calculate the number of ways to elect a President, a Vice President, and a Secretary from a group of 12 individuals. Think: Does order matter?

• Permutation
• Combination
• Neither

It is the arrangement of objects from a set.

• Combination

• Differentiation

• Permutation

• Distinction

In how many ways you can arrange the word "FAIR"

• Combination

• Fundamental Counting Principle

• Permutation

Determine whether each situation involves a permutation (order is important) and or a combination (order is not important).

Choosing 3 winners out of the 10 semifinalists in a certain beauty pageant for the titles Grand Winner, First Runner-up, and Second Runner-up.

• Permutation

• Combination

What is the expanded form of ₁₀C₂?

A physical education class contains 20 students. In how many ways can a swimming instruction group be formed consisting of 5 students?

• 5168

• 7752

• 15504