Permutations and Combinations

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

• combination
• permutation
• neither

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• 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

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

• combination
• permutation
• neither

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

• 1
• 30
• 5!
• 6!

A DJ has to choose 3 songs for the last few minutes of his evening show. If there are 9 songs that he feels are appropriate, how many ways can he choose and arrange to play 3 of those 9 songs?

**Does order matter?**

• 84

• 504

• 9!

• 3!

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?

**Does order matter?**

• 720

• 120

• 10!

What is the value of 8!

• 40320
• 36
• 362880
• 5040

A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

• 320

• 76,904,685

• 5,248,357

• 1,587

An election ballot asks voters to select three city commissioners from a group of six candidates.  In how many ways can this be done?

• 6!
• 120
• 20
• 3!