Factorial, Permutation and Combination

The Volley ball 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!

Let’s say we have 8 people:
1: Ann
2: Jimmy
3: Carson
4: Jason
5: Katrina
6: Kenneth
7: Ernest
8: Cherry
How many ways can we award a 1st, 2nd and 3rd place prize among 8 contestants? (Gold / Silver / Bronze)

• 56

• 336

• 3/8

• 1/512

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

An election of a working group wants to select three students from a group of six candidates. In how many ways can this be done?

• 6!

• 120

• 20

• 3!

How would you solve?

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

• Permutation

• Combination

• Factorial

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

• Permutation

• Combination

• Factorial

Picking a team of 3 people from a group of 10 people.

• Combination

• Permutation

Picking a President, Vice-President and Treasurer from a group of 10.

• Combination

• Permutation

Choosing 3 desserts from a menu with 10 desserts.

• Combination

• Permutation

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?

• Combination

• Permutation

• Neither