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

• Permutation
• Combination

In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?

Mathematical Equivalence

ON

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!

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84
• 504
• 9!
• 3!

Decide whether you'd solve using a Permutation, Combination, or simply need a single factorial, then match the cards accordingly.

• The principal would like to assemble a committee of 8 students from the 12-member student council.

• Factorial

• Ribbons are being awarded for 1st through 5th place to the top 5 dogs in a dog show.

• Permutation

• A lock has a code of 3 numbers between 1 and 15. How many codes can be created if no numbers repeat

• Combination

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6
• 12
• 24
• 36

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

• 12 outfits

• 22 outfits

• 3 outfits

• 7 outfits

If Eduardo flipped a coin three times, his sample space of results would contain how many variations. Remember that order matters.

• 4

• 8

• 12

• 14

In Billy's sock drawer, he has loose socks of three colors (red, white and brown). If he reaches in twice, what is the total possible of combinations he could grab?

• 3

• 6

• 9

• 12

During snack time, the students were offered their choice of either white or chocolate milk, and either chocolate chip or oatmeal cookies. How many variations were possible?

• 1

• 2

• 4

• 6