Combinations and Permutations

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

• Combination
• Permutation

In how many ways can 3 different vases be arranged on a tray?
 

• 3
• 9
• 6
• 12

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30
• 140
• 320
• 45

Determine whether the following scenarios are a permutation or a combination:

Selecting three students to attend a conference in Washington, D.C.

• Permutation
• Combination

7!

• 4050
• 5400
• 5040
• 4500

Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip. 

• Combination
• Permutation

4!

• 42
• 23
• 24
• 35

Eric works at the local art museum. He has 10 pieces of art to choose from, but he can only hang 3 of the frames. How many possible ways can Eric choose and then arrange three frames?
 

• 90 ways
• 720 ways
• 30 ways
• 650 ways

Determine whether the following scenarios are a permutation or a combination:
 
Assigning students to their seats on the first day of school.

• Combination
• Permutation

Joleen is on a shopping spree.  She buys six tops, three shorts and 4 pairs of sandals.  How many different outfits consisting of a top, shorts and sandals can she create from her new purchases?

• 54
• 45
• 36
• 72